- Tesseracts as building blocks?
- How can a highschool student study the nonuclidean geometry himself ?
- Elementary questions about fibre bundles
- Space filling curves: two and a half questions
- why is noise always gaussian?
- Projective Space
- Signed angle between two 3D vectors
- a question of the complete metric space!
- "Easiest" topology textbook/book
- Do trapezium angles have to equal 360 degrees?
- Why is the cusp not a submanifold?
- Topological transform of singular points?
- Banach Space that is NOT Hilbert
- Rotations in Complex Plane
- Adjuction Formula: Ideal sheafs and tensor products
- Conic sections over C[x,y]
- Geometry proofs
- Geometry Question
- Another implememntation of van Kampen thoerem.
- Banach space C(X)
- Is the product of two open sets open?
- Trilateration work around
- Nontriviality of the Möbius bundle without orientability
- Diff. Geometry Question
- Simpley Connectedness.
- Ricci-Tensor from Riemann in higher dimensional flat space
- Dense and open sets in R^n.
- Smooth structures
- Questions regarding function operations on sets.
- Connected components of a manifold
- How it will be solved
- How it will be solved
- Help for question below
- Action of Clifford-elements on vectors & spinors
- About Torsion
- Short question about Laplacians
- lie derivative problem/error
- what are the 'closed geodesic' ?
- Get Polygon Side Length From Radius
- Volume of cylinder with a 45 degree branch
- Working with the inverses of composite functions
- An obtuse triangle and its circumcenter
- fuzzy differential geometry?
- Trivial topology on an arbitrary set?
- Basic point set topology question
- Line bundles and parallel transport
- Finding new major axis of ellipse after stretching along arbitrary axis
- differential geometry
- The universal property characterizing the quotient topology
- comma notation in tensor expression?
- topology on N
- College Euclidean Geometry
- A small rectangle on a large ball - distortion?
- need help for cycloid
- metric in a hyperbolic space?
- 3 points make a plane?
- Analogy between vectors and covectors
- curved line w/o a plane
- Formal definitions of cutting and pasting etc
- visualising calabi yau manifolds
- Simply Connected Question
- degree of a map
- Naive tensor question?
- Integrating a 2-form on a 2-cube
- isometry and orbit dimensions
- Integration on chains in Spivak's calculus on manifolds
- Conformal equivalence
- Conservative vector field; classification of derivative
- Frechet distance between surfaces
- Implementing Sard's theorem.
- Total derivative
- Orinetability questions.
- Action of Einstein equations
- Gradient in spherical coordinates
- Connection between complex curves and homology classes
- Equaivalent Statements?
- index to matrix form
- Covariant vectors vs reciprocal vectors
- Tensor operations and properties
- Indices in differential geometry
- from tensor to scalar
- exterior covariant derivative
- vanishing measure of a set with codimenon 2
- immersion
- Simple connectivity and finite coverings
- Homotopy Extension Property
- Smash Products
- divergence of mixed II-order tensors
- CW Complexes
- Question about basis of Lie algebra/tangent
- Covariance and Contravariance
- A few questions on manifolds.
- Visualizing left action of SO(3) on itself
- to see a tensor
- Geodesic surface
- normal one-forms
- Definition of arc length on manifolds without parametrization
- Vector addition in cylindrical coordinates
- Gaussian Curvature of (x^2+y^2+1)^-2
- Penrose's diagrammatic notation
- centrally symmetric.
- Isometry question.
- kissing numbers
- Intuition for Covariant derivative of a Tensor Field
- coordinates adapted to two vector fields
- manifolds in hilbert space?
- Fractals Please!
- Ring of functions over M
- Rotaion group
- functions on manifolds
- Topology Question:Connected Components
- Does Every Coordinate System Admit Local Othornormal Basis Vectors
- Differential Forms and Areas
- 4 dimensional pyramid.
- Are vector bundles principal bundles?
- How to find rotation parameter in sphere?
- Lindelof Space.
- Parallelizability vs. hairy ball theorem
- Integration/Differentiation on abstract spaces
- Quotient map (A simple one).
- Simple Topology Question
- The set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0
- Lagrangian of electrodynamics
- Electrical Conductivity Tensor
- Tensor action on Vectors.
- Foliation, fibration, fiber bundle?
- Max. Torus in Lie Group
- Diagrammatic Notation
- killing vector help
- The mystery of geodesics .
- isotropy subgroup?
- isotropy subgroup?
- Power Map
- intrinsic extrinsic
- hypersurfaces and induced connections.
- Pushing a geodesic
- Dirac delta in curved spacetime
- spivak's dual space definition?
- Number of zeros of (tangent) vector field on sphere
- reconciling differential forms' inner product of wedge with geometric algebra dot
- Scalar Product/Dot Product.
- differential forms and degree
- Differential modulo another differential
- Meromorphic differential
- Quotient spaces on Lie algebras
- Manifolds / Lie Groups - confusing notation
- How to prove a function is an isometry
- Lie subalgebra and subspace
- Classification Theorem of Surfaces
- Homotopy and Fundemental Group.
- Tangent vectors in affine spaces
- Elie Cartan's Papers
- Parallel transport in flat polar coordinates
- Covariant derivative of metric tensor
- Kahler manifolds
- Book on lie groups
- Tangent vectors to a manifold
- Geometry problem
- Hodge operator and adjoints
- Adjoint of functional derivative
- Some Basic Stuff
- General solution to y = exp(c_i T_i)x?
- Exterior Calculus and Differential Forms?
- Dyadic?
- Tensor product commutes with pullback?
- Divergence of a two dimensional 3 order tensor
- from the metric to the CS
- Relative Singular Homology
- Reimannian metric tensor g
- The space of continuous functions.
- Pullback
- Affine Connection
- open compacted topology.
- computing product spaces?
- Pascal's Triangle for non-commutative?
- Serre Spectral Sequence. Motivation
- Examples for seperation axioms.
- dimension of a topological space
- compactness and continuity.
- curvature, torsion problem
- Path connected and connected.
- definition of a function by a metric.
- Normal space goes to Normal space.
- do these go through a 2-dim sphere?
- fibre bundles
- Advice on complex analysis, Riemann surface & complex mappings.
- curl or maxwell equations in higher dimensions
- [SOLVED] Reference for sphere eversion
- Diffeomorphic manifolds
- metrics.
- manifold-coordinates..
- scalar or vector?
- Intersection form. Please help with notation
- Advisement on 4-manifolds: please suggest
- Differential topology basics
- topological continuity (a few questions).
- general helix
- Help on differentiation of tensor fields
- Spivak Calc on Manifolds, p.85
- Isometry sub-group of the gauge group & the center of structural group
- Are there propagating charged waves admitted in Maxwell’s equations?
- Lie groups & manifolds
- Please prove this
- Surface Tensors
- About tensorial calculus
- lie groups as riemann manifolds
- please help an ignorant mathematician
- Non-Orthogonality of Frames Del/Delx^i ; i=1,...n
- Lie derivative of a function
- Gauss Curvature
- Frenet-Serre Frames and circles.
- immersion
- Transformation of Rank 2 mixed tensor
- Tensor Product
- Covectors
- Rotate point on sphere to exactly 'cut sphere in half'
- Geodesic coordinates and tensor identities
- one parameter family of metrics
- subjects for symplectic geometry?
- Curvature of a space curve?
- non-integrable tangent distributions
- Surface with Ricci scalar equal to two
- Geodesics and Diffeomorphisms
- Extending Vector Fields.
- Exponential map
- Lie Groups, Technical/Def.
- Tensors links or ebooks ?
- Operations on 2 vector fields?
- de Rham cohomology
- Some elementary geometry questions
- Connections?
- Derived systems: inverse problem
- geodesic deviation equation
- convert the coordiates of one vector between 2 Cartesian system
- isometric immersion
- Synge's inequality
- Differential forms and divergence
- geodesic in a curved space
- induced maps on tensor spaces
- Parallelizable Manifold
- non-degenerate tensors?
- tensor analysis text?
- symmetrizing and skew symmetrizing tensors
- why are tangent vectors like this?
- Submersion btw R and S^1
- Geodesics
- Identities for covariant derivative
- Discreminent(Hessian)
- Spivak volume 2
- differential form
- differential form
- vector field
- Coordinate Transformation
- Is this correct? (Tensor)
- Equations of motion for differential forms.
- Contraction of a tensor
- Geometry as a branch of physics
- holomorphic projective connections
- tensor product
- Local approximation with ellipsoid
- Tensor Field
- Christoffel symbols from definition or Lagrangian
- Tensors
- Need help on tensor
- immersions and embeddings
- Comprehensive intro to diff geometry by Spivak Vol2.
- Problem book on manifolds
- Morse Index
- Help with Lagrangian to Eulerian transformation
- Holonomy, SO(6), SU(3) and SU(4)
- Help with universal theorem of coefficients for homology
- Exact definition of differential forms
- taking a course in calculus on manifolds.
- Symmetric Matrices as Submfld. of M_n. Prelim
- Poisson's Identity
- Lie algebra question
- differential structures
- first countability
- Question of vocabulary
- What's a 0-form and what's not?
- Smooth Charts on immersion image.
- exterior product
- continuous function
- lie derivative
- Probability Tensor and Ellipsoid
- One- parameter groups
- Functional determinant
- adjoint representation
- Physicists agree?
- vector field vs vector function
- Intro to tensor material - If you have time please...
- time is scalar?
- some questions about tensor
- About Scalars
- Thurston Geometries
- Understanding tensor contraction
- G-torsor
- angle preserving transformations
- Grassmann manifolds
- Generalized PDEs with an apparent contradiction
- a simple derivation involving the Hodge dual
- Tensor in fractal dimensions
- tangent spaces and derivations
- Lie Groups
- ndependent components
- Curl in arbitrary coordinates
- introduction to tensor calculus and continuum mechanics
- Basis ambiguity
- Elementary Differential Geometry Questions
- "Tensors & Manifolds," Wasserman
- relation between Ricci and Riemann curvature tensor
- Appolonius
- How many coordinate charts does it take to cover a surface?
- Simple questions about weyl rescaling/Conformal transfo
- inverse of a 4th order tensor
- Quick question on formula
- Hello all my tensor questions
- Curvature for surfaces?
- Selberg formula for trace.
- Again on concept of tensor
- Slow roll parameters
- How to Prove contracted Bianchi Identity
- tensor expression
- Curve with ever increasing radius
- higher order tensor
- pullback of fibre bundle
- Spacetime metric?
- Switching d
- Ricci tensor problem
- bilinear forms and wedge products
- Gauge covariant derivative in curvilinear coordinates
- help with paper on gradient descent evolution of surfaces
- maxwell tarpits
- Building invariants
- Symmetric Tensors and Matrices
- Affine Geometry/Space
- Bonnet Transformation
- partitions of unity
- exact sequence & meaning of a corollary?
- Inflectional geodesics ?
- Permutations
- How to get the normal bivector to a surface??
- lie derivative
- exterior derivative
- Curvilinear Unit Vectors
- WHY there is no scalar equation for a line in three dimensions ???
- stokes theorem
- Connection coefficients entering differential operators
- How to relate a one form to a vector.
- Riemann-tensor
- Curvature and Laplacian
- Bivectors/Trivectors: How to imagine?
- Any right equivariant automorphisms that aren't group left actions?
- Geodesics and the Lagrangian.
- Vector or not vector?
- What is the hypervolume?
- Hermitian-Einstein connection ...
- From Christoffel symbols to connection 1-forms
- christoffel symbols examples
- tensor products and tensor algebras
- original motivation of differential geometry
- Killing vector fields
- paralell transport
- Distance Function vs. Metric
- differential of lin. transformation between vector spaces
- covariant derivative
- semigeodesic parameterization...I am a little confused
- What is the boundary of a surface???
- Simply Connected and Fundamental Group
- Above-Below test
- Projective spaces
- differential geometry recommendations
- Differential Forms?
- Recommendations for diff geom. textbook
- metric/metric tensor?
- basis
- gaussian geometry.
- an ellipse question?
- The tensor product and its motivation
- the kronecker delta
- Lie dragging a vector around the ellipse
- tensor product
- Hypercylindrical Volume
- Intuitively what's the difference between Lie Derivative and Covariant Derivative?
- Question On Metric!!!
- Metric tensor
- Schaum's outline
- Weyl Tensor
- What is a compact space?
- Poincare conjecture.
- Easy but interesting.
- Question on Dirac Delta and functional derivatives
- good differential geometry book
- Help needed - Equation of a wedge shaped plane!!
- What's the difference?
- Covariant derivative: an sign error in the book?
- Tensor Newbie trying to find Kolecki's rhythm
- Surface with prescribed metric
- Definition of differentiability on a manifold
- linear transition maps on manifolds
- tensor and wedge products
- Lie Derivatives
- Help with a function on S^2
- Covariant and Contravariant Rank-2 Tensors
- Lagrange equations with constraints
- Kahler geometry and potentials
- Star Operator
- Cartan's Identity
- Notation question
- Decomposable forms
- Help on contraction...
- My Solutions to "Tensors and Manifolds"
- Tensor with complex eigenvalues
- learning tensors from scratch
- Riemann
- 4D surface
- Index transformation
- Differential Forms - Cartan
- Tangent space, derivation defifinition
- Questions about Index Notation
- Hypersurfaces with vanishing extrinsic curvature
- Einstein notation stuff
- Inner product Pythagoras theorem
- wedge product property
- Surface area preserving flow
- principle bundles
- Vector Fields and Vector Bundles
- Transformations taking straight lines to straight lines
- noncoordinate basis vector fields
- Definition of surface
- All isometries of the n-torus
- Theorem of Curves in higher dimensions
- Gradients of Vectors and Dyadic Products
- Using Tensors in this Forum
- How does a 2form act?
- Complete riemannian metric
- Parallel Translation
- Book on tensor symmetry, geometries, surfaces
- dual space topology
- Cross product optimization
- scalar, vector, mixed, etc products
- Generalized Poisson brackets
- Notes
- Geodesic Curvature (Curvature of a curve)
- Spivak calculus on manifolds solutions? (someone asked this b4 and got ignored)
- Question and answer on 'not exact' forms
- Tensors
- Curl of Tensor
- In which frame does the unit 2-sphere look locally flat?
- I thought w(f) where w=dual vector f=vector is Reals?
- Cartan forms and structure equations
- Ricci and K (curvature)
- Fundamenal Group
- Meaning of integrating exterior forms
- Connected set and regular boundaries
- Question on homeomorfism
- Transforming to curved manifolds
- Coordinates in Riemannian Geometry
- Intro to tensors book for self-study?
- The Great Circle et al....
- 2-Sphere
- "Discrete" Geommetry...
- Riemannian Geometry
- Ricci Tensor and Trace
- Fifith Postulate in Affine Spaces
- Quadlateration
- Grisha got it!
- Connections on fibre bundles
- Weyl tensor
- Why we have to definte covariant derivative?
- What is the metric tensor on a spherical surface?
- What different between covariant metric tensor and contravariant metric tensor
- Lie group geometry
- Metric (distance Function)
- Complete Solution of Poincare Conjecture
- Derivation Of The Faraday Two-Form
- Musings on the physicists/mathematicians barrier
- structure constants of Lie algebra
- metric tensor on unit sphere
- Evaluate a length on a quadric surface
- Spivak's textbooks
- Lie group, Riemannian metric, and connection
- From Simple Groups to Quantum Field Theory
- Basis vectors and covectors
- Convolution Theorem on Manifolds
- Contitunity on a Manifold
- Lie group geometry, Clifford algebra, symmetric spaces, Kaluza-Klein, and all that
- Textbook for General Relativity
- differential of normal vector
- Reimann Geometry Resources
- Riemannian volume form without local coordinates
- Exterior Derivative
- Contracting.
- 1forms and Div, Curl, Grad
- Killing fields
- Inverse function of a function of two variables
- Covariant derivative of the gradient...
- Geodesics in Minkowski Spacetime
- The Special Linear Group
- Rank condition in the Implicit Mapping Theorm
- the exterior derivitive 'd'
- Conversion from Scalar Eq. to Vector Eq.
- Stuck with basis for tangent space
- Question involving curvature tensor
- Schwarzschild Solution using Cartan's Formalism
- Lie algebra
- Some geometry questions
- levi-civita permutation tensor, and kroneker delta
- MInimal surfaces...
- Exterior derivative question
- Proving an Identity from Differential Geometry
- Differential Geometry/Ricci Calculus Question
- Producing a Ricci tensor
- The Tensor Product
- Various problems concerning Exterior calculus
- why tensor analysis ???
- Who discovered the general case of Stokes' Theorem?
- Differential Forms vs. Directed Measures
- 4 dimensional spacetime manifold question
- optimization problem
- Has anyone seen this scalar?
- Homeomorphism
- units?
- Riemannian manifolds
- One-Forms
- properly discontinuous action of groups
- divergence of a tensor?
- GR and analytic continuation
- Acceleration Tensor - Rotating Frame
- Isomorphic Tangent Spaces
- Introduction to Differential Geometry
- Inverse of the Stereographic Projection
- Euclidean and Non Euclidean Space?
- tensor questions
- Varying metric determinant
- Tangent bundle on the sphere
- Integral manifold
- Worked Problems in Modern Differential Geometry
- tensor
- Isotropic tensors
- Tensors and Tensors
- Qestion: Vector field and (n-1)-form representation of current density
- Torsion Tensor and Gauss Equation
- Contravariant derivative
- About curvature
- Two quick questions on subspaces (intro to tensor calc)
- What is the second fundamental form?
- A very special Möbius Strip
- Geometry - Stereographic projection
- Lie Derivative of a One-Form
- definition of a smooth manifold.
- Physics and Topology
- Homeomorphic Vs. Isotopic
- noncoordinate basis
- Tensor emergency
- Question about Alexander and Briggs notation
- The Geometric Heat Equation--WTF??
- Is an orthogonal transformation a tensor?
- projective plane as quotient space of a sphere
- quadrupole-quadrupole interaction?
- Open Subgroup of a Lie Group
- The Poincare Conjecture.
- Frobenius' Theorem
- Symmetric Matrices and Manifolds Answer Guide
- Manifold Problems
- surface question (topology)
- One-forms
- Super Quick Question
- Tensors and Topology
- Exterior differential
- maifold calculus
- manifolds
- What r the prerequisites for studying diff geo????
- Euclidean Geometry Question
- Tringles on a sphere
- tangent vectors
- helix and radius of curvature
- Atlas of manifold
- How to show something is a tensor.
- How can i define "Hook's Law interm of Tensor"
- Help with basic tensor algebra
- [SOLVED] How to deduce rot and div formulas under spherical or cylinderical coordinat
- Bracketed subscripts
- Kleinian view of geometry
- DOFs in coordinate mapping if metrics specified?
- 2 alternate coordinate systems
- riemann roch made easy
- Good Texts for Independent Study
- Finite Differences proving
- Tensor analysis in curvilinear coordinates
- Deriving the Implicit Equation of a Rotated Spheroid
- Topology question?
- Translation/Rotation
- vectors, one-forms and gradients
- Tensors
- Rotated Spheroid
- Linear Interpolation
- funny definition of dimension of a topological space
- Induced inner product
- applied 3-sphere model
- matrices and tensors
- Topology problem No. 2
- Orientable Manifold with Boundary
- Nakahara problems solutions
- flat torus embedding in euclidean space?
- Can you check my proof?
- Question regarding tensors... derive acceleration in polar form
- Got the theorem, having trouble with the proof...
- Quick Diff Geometry question
- Nonabelian gauge field
- how to satisfy Laplace's equation ?
- Surface Transformation
- Formula for non-linear differential forms
- Questions in topology/geometry
- engineer becomes physicist? help me.
- covariant derivative
- differential forms
- Topology problem
- Angle between space-like and time-like vectors
- What is a tensor and why is it useful?
- Closed manifolds
- la direction d'un point
- Quick question on Einstein Notation
- Extension of Thurston's Geometrization Conjecture to four dimensions?
- manifolds
- the curmufrence and the volume of a sphere...
- Hodge Duals and the Interior Product
- Sunrises on the compass
- lie groups-textbook
- using surgeries to construct 4-manifolds of arbitrary topology
- Question on the properties of a manifold
- vectorfield
- Lie-derivative
- Coordinate transformations
- What is a tensor?
- curveture
- Extrinsic and Intrinsic Curvature
- Curve Evolution
- An extension of the concept of a tensor field
- A Geometric Approach to Differential Forms by David Bachman
- Curl and a real set of data vectors
- infinitie dimensions?
- cross product in higher dimensions?
- Writing tensors in a different way?!
- manifold question?
- Unbounded space
- Question On Homotopy Groups
- Stereographic projection
- Rank 2 covariant tensors and dimesionality
- The covariant derivative of a contravariant vector
- Tensors & Differential Geometry -- What are lie groups?
- Spinor Decomposition of a tensor
- equation of evolute?
- Intorduction to Lie Groups?
- Differential Equations
- covariant vs contravariant
- spherical geometry, some simple things
- Prerequisites for Differential Geometry
- Transformation law for Christoffel symbol of first kind
- Best books for Differential Geometry?
- differential forms question
- homotopy book
- Closure of an open ball and separable space?
- Quotient topology
- about the basics of Poisson bracket
- Solutions in differential forms
- geometric heat equation
- corses on vector and principale bundles and spinorielle geometry
- Double Integral Volume
- Differential Geometry And Difference Geometry?
- Continuous on a curve?
- visualization of contangent vector?
- i need to know how can i solve the following
- Quotient space?
- Klein Bottle
- Can someone help me solve these problems
- non-degenerate Poisson bracket and even-dimensional manifold
- Most efficient backgrounder on differential geometry ?
- proof that grad V is a (1,1) tensor
- tagent vector and vector field difference
- showing scalars are unchanged by rotation
- 2nd Funadamental Form?
- Into troubles with a mesh
- algebric geometry
- Corses on differential geom
- Harmonic curves
- Contravariant gradient?
- [MUST READ] This forum is not for homework questions.
- Directionality in Stokes Theorem for Volumes
- Lie algebra
- Christoffel symbol as tensor
- Intersecting subspaces in N dimensions
- Outsider question about DG
- intro tensors book
- diffeomorphism invariance
- any idea on this
- Applications of tensors
- what is a tensor
- A monkey learning tensor
- Tensor identity - Help
- Diff operators are Covariant
- lecture notes discrete manifolds
- parallel lines and space curvature
- Third Bianchi identity
- Extrinsic/Intrinsic curvature
- What's a surface patch?
- Some basic problems in Riemannian Geometry
- Determinant of metric tensor
- What is a Vector Bundle?
- Tangent/normal/area for this Circle..
- Isotopy in Topology
- The Four Vertex Theorem
- Non-commutitative geometry
- Embedding a line into a plane
- Hodge numbers of 2n-dimensional torus
- Structure constant calculation
- tensor product
- Homogeneous points & coordinates
- Twisted forms and intuition.
- If curvature were an exact differential
- possible circlular answer...
- expanding manifold with constant boundary
- Lie transport vs. parallel transport
- Scalar Equations!
- Quick Introduction to Tensor Analysis
- Which of the following is a metric on S? d^2 or d^(1/2)
- How to start with Tensors
- atlas
- Request for help and/or comments
- Question on Topological Spaces
- What is a vector?
- Transform rule for (1,2) tensor
- Help me out.
- 4-volume is a rank (0,0) tensor?
- definition of a vector using transformations
- Geodesic Deviation
- Another question
- Groups in GR
- Question
- Theorem between Curvature and submanifolds
- pushforward of Lie bracket
- differential geometry lecture notes
- Calculating an inertia tensor
- Metrics and coordinate transforms
- [SOLVED] Euler 9 point circle
- Synge's Theorem
- Proposed Resource Sticky for Quantum Differential Geometry
- Why no images?
- Enveloping spaces
- Geometry with non-compact groups, e.g. Freidel/Livine
- Differential forms. Why?
- Comments on Toy Principle Bundle
- A Toy Principle Bundle
- basic tools for quantized differential geometry
- tensor
- differential geometry and tensor calculus
- intro to differential forms
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