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Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Graduate Solve Gradient Squared: ((grad(f(x,y,z))))^2
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Graduate Understanding Nonlinear Exponential Maps for Vector Fields
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Graduate Is a Tesseract the only model we have for 4D?
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Graduate A tetrahedral expanded to a icosahedron
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Graduate Solving an irregular tetrahedron given 3 angles and 3 lengths
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Graduate Finding Unit Normal to Curve Defined by Parametric Equation
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Graduate Covariant derivative of a 1-form
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Graduate Covariant Derivative Commutation
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Graduate Star Geometry: 10 Lobed Star Shape Described by Parametric Equation
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Graduate Second differential of a function
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Graduate Submanifolds vs Manifolds / Immersion vs Charts
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Graduate Non-coordinate basis for vector fields
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Graduate Constructing a Solid Klein Bottle
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Graduate How are 1-forms related to infinitesimal displacements?
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Graduate Can someone draw a picture of this situation? I can't make sense of it
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Graduate Defining Right-Handed Coordinate Systems in Non-Orthogonal Bases
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Graduate Using the div-flux theorem (Gauss) to derive divergence in polar coördinates?
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Graduate Covariant/contravariant transform and metric tensor
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Graduate Is a change of coordinates a diffeomorphism?
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Graduate Horizontal Lift vs Parallel Transport in Principal Bundle & Riemannian Geometry
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Graduate Understanding Dual Vectors in Fluid Mechanics: Purpose and Derivation Explained
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Graduate Computer simulation of geologic processes using multidimensional functions
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Graduate Can Metric Tensors Have Equal Determinants?
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Graduate Connecting N points pairwise in volume V, average density of lines?
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Graduate Neighborhood Retract of Boundary
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Graduate Metric of Manifold with Curled up Dimensions
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Graduate How Do Quaternion and Spinor Structures Impact the Geometry of Vector Spaces?
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Graduate Trying to Understand Generalized Coordinates
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Graduate How Do Imaginary Components Affect Vectors in a 2D Complex Vector Space?
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Graduate Finding base number with Hausdorff Dimension Approximation methods?
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Graduate Projections from Tubular Neighborhoods
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Graduate How exactly to obtain Frenet Frame via Gram-Schmidt process?
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Graduate Asymptotes of hyperbolic sections of a given cone
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Graduate Infinitely long piece of string.
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Graduate What is the mathematical expression for fluid rotation in 3D?
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Graduate Is There a Paradox in the Equation for Oblate Spheroids?
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Graduate What different between covariant metric tensor and contravariant metric tensor
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Graduate Principal curvature used in a contact problem
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Graduate How to generalize the fixed point iteration
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Graduate The space between a unit 'sphere' in n dimensions within an n-dimensional cube
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Graduate Calculating Induced Metric on Vector Bundle E
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Graduate Mixed symmetry property and degrees of freedom
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Graduate How Do You Find the Angle Between a Moving Point and a Line in a Vector Space?
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Graduate Q about magnetic buckyballs and knots
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Graduate Is the Set BxB \ D in the Unit Disc Non-Contractible and Disconnected?
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Graduate What are the formal operations of tensors and their applications?
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Graduate Lawn Mower Curvature: Calculating & Applications
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Graduate Circle-Sphere 3D Intersection Points
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Graduate Parsing the Fibers of Critical Values
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Graduate Nonregular icosahedral die approximating a bell curve
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Graduate Solving Linear Geometry for a 'projected intersection'
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Graduate Deriving the Christoffel Symbols
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Graduate I am not sure - a manifold is locally connected and has countable basis?
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Graduate Riemannian symmetric spaces and Lie algebras
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Graduate What Is the Difference Between Covariant and Contravariant Vectors?
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Graduate The divergence operator in a rotated reference frame
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Graduate Commutator SO(3) - what am I doing wrong?
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Graduate Composition of infinite deformation retracts
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Graduate What is a co-variant derivative?
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Graduate Solving a 'skew' quadrilateral for vertex position.
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Graduate Why is the gradient of a function considered a one form in Schutz's book on GR?
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Graduate Evenly spaced points in oddly shaped volume?
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Graduate Understanding Minimal Surfaces: QFT Math Prerequisites
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Graduate Integer Cohomology of Real Infinite-Dimensional Grassmann Manifold
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Graduate Cat vs Mouse (bipartite graphs) - can mouse evade capture?
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Graduate Algebraic Topology - Retractions and Homomorpisms Induced by Inclusions
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Graduate Killing vectors for a given Kahler potential
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Graduate Algebraic Topology - Fundamental Group and the Homomorphism induced by h
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Graduate Calculating the Z2 cohomology of the Klein Bottle using intersections
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Graduate Is the Ratio of Circumference to Diameter Always Pi in Non-Euclidean Space?
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Graduate How does the proof of Sard's theorem utilize vector spaces and planes?
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Graduate Computing arc length in Poincare disk model of hyperbolic space
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Graduate Exterior algebra and n-dimensional volumes
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Graduate Is Every Element of n-Torus DeRham Cohomology Independent?
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Graduate What is the Klein Four-Group Geometry and Its Applications?
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Graduate Orthogonal Lines and their line element
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Graduate How Does a Vector Transform Across Different Charts on a Manifold?
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Graduate Euler Angles - Why Post Multiplication
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Graduate Why Does the Second Equality Hold in Multi-Linear Algebra?
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Graduate Is There Such a Thing as DeRham Homology?
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Graduate How Can I Understand the Geometrical Construction of Klein's Quartic?
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Graduate Simplify Condition for Chord Length Equals Angle?
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Graduate Poincaré disk: metric and isometric action
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Graduate Second fundamental form of surface with diagonal metric
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Graduate Understanding Monodromy Map of a Covering Space: Can Anyone Help?
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Graduate Rao: Proposition 1.2.4. Superfluous section of proof?
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Graduate The singular points on f = x^2 y - x y on a plane
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Graduate Understanding the Lie Derivative of Tensors: A Step-by-Step Approach
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Graduate Deformation retraction of plane RP2
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Graduate What is the Definition of C1-Close Curve in Whitney Topology?
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Graduate Orthogonality of Absolute Derivative
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Graduate What's relation between factorial and tensor components.?
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Graduate Are Homotopic Maps of the n-Sphere Antipodal?
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Graduate Tensor fields and multiplication
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Graduate What are the properties of orbifolds and how do they differ from manifolds?
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Graduate How to verify if a mapping is quotient.
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Graduate Inversion w.r.t. a sphere: Operator
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Graduate Stoke's theorem and normal vectors
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Graduate Cohomology with coefficients in a sheaf
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Graduate Can you explain dual tensors and tensor densities with a simple example?
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