Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
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Graduate Angle Between Planes: Is i1+cos(rotation)*i2 Correct?
- tony873004
- · Replies 6 ·
Graduate Vector Fields and Vector Bundles
- AiRAVATA
- · Replies 7 ·
Graduate Transformations taking straight lines to straight lines
- Palindrom
- · Replies 5 ·
Graduate Surface Definition from Pressley's "Elementary Differential Geometry
- quasar987
- · Replies 9 ·
Graduate How Does a 2-Form Act on Vector Fields X,Y?
- SeReNiTy
- · Replies 3 ·
Graduate How Do Tensors Enhance Problem Solving in Forums?
- stephen_weber
- · Replies 1 ·
Graduate Parallel translation on S² contradicts reduction from R³
- Palindrom
- · Replies 9 ·
Graduate Do All Smooth Manifolds Admit a Complete Riemannian Metric?
- mtiano
- · Replies 1 ·
Graduate Geometry of symmetric spaces and Lie groups in physics
- garrett
- · Replies 122 ·
Graduate Where to find notes onTensor Analysis or Differential Geometry.
- Nusc
- · Replies 1 ·
Graduate Equidistant point configurations on a sphere
- ChemistryInclined
- · Replies 3 ·
Graduate Dual Space Topology: A to B Inclusion Map
- kakarukeys
- · Replies 9 ·
Graduate What is the proof for the distance formula from a point to a plane?
- Reshma
- · Replies 5 ·
Graduate Curve of intersection of plane and surface
- Yura
- · Replies 9 ·
Graduate Geodesic Curvature (Curvature of a curve)
- Reality_Patrol
- · Replies 8 ·
Undergrad Find Equations for Point #3 on a Line in 3D Space
- ronatu
- · Replies 2 ·
Graduate What is the relationship between Ricci and K in two dimensions?
- stephen_weber
- · Replies 12 ·
Graduate Question and answer on 'not exact' forms
- precondition
- · Replies 2 ·
Graduate Relationship between tensors
- sparkster
- · Replies 1 ·
Graduate In which frame does the unit 2-sphere look locally flat?
- masudr
- · Replies 3 ·
Graduate How does the fundamental group combine two basepoint loops?
- waht
- · Replies 14 ·
Graduate Proving the Weyl tensor vanishes in 3 dimensions
- sroeyz
- · Replies 3 ·
Graduate Cartan forms and structure equations
- precondition
- · Replies 2 ·
Graduate Meaning of integrating exterior forms
- KamYi
- · Replies 2 ·
Graduate I thought w(f) where w=dual vector f=vector is Reals?
- precondition
- · Replies 1 ·
Graduate Proving Topological Space L is Locally Homeomorphic to R but not Hausdorff
- AiRAVATA
- · Replies 3 ·
Graduate Why Must the Projection Function in Fiber Bundles Have a Specific Form?
- mma
- · Replies 17 ·
Undergrad Problem with polynomials and spheres
- markcholden
- · Replies 1 ·
Graduate Coordinates in Riemannian Geometry
- KalyanK
- · Replies 1 ·
Graduate Connected set and regular boundaries
- rdabra
- · Replies 1 ·
Graduate Transforming to curved manifolds
- masudr
- · Replies 4 ·
Graduate Perelman awarded Fields Medal at ICM 2006
- marcus
- · Replies 28 ·
Undergrad Intro to tensors book for self-study?
- Mothrog
- · Replies 5 ·
Graduate What are some tips for finding geodesics on a surface in R^3?
- Feles Cestriana
- · Replies 4 ·
Graduate Perelman, Poincare Conjecture solved now?
- Clausius2
- · Replies 6 ·
Graduate Geometrical methods of mathematical physics
- pmb_phy
- · Replies 3 ·
Undergrad Quadlateration Trilateration formula
- insolace
- · Replies 1 ·
Graduate How Does Discretizing a Smooth Manifold Affect Its Geometric Properties?
- lokofer
- · Replies 2 ·
Undergrad Electric and magnetic constants are tensors
- dervast
- · Replies 50 ·
Graduate Is a metric isometry that is a homeomorphism necessarily a diffeomorphism?
- sroeyz
- · Replies 2 ·
Graduate Complete Solution of Poincare Conjecture
- selfAdjoint
- · Replies 9 ·
Graduate Do spherical triangles need equal-radius circles for Lambert and Harriot formulas?
- denni89627
- · Replies 2 ·
Graduate Why we have to definte covariant derivative?
- HeilPhysicsPhysics
- · Replies 4 ·
Graduate What is the metric tensor on a spherical surface?
- HeilPhysicsPhysics
- · Replies 2 ·
Graduate What is the metric (distance function) on the 1-sphere and 2-sphere?
- SeReNiTy
- · Replies 2 ·
Graduate Derivation Of The Faraday Two-Form
- ObsessiveMathsFreak
- · Replies 5 ·
Graduate Structure constants of Lie algebra
- marton
- · Replies 3 ·
Graduate Differential geometry lecture notes
- franznietzsche
- · Replies 17 ·
Graduate What is the Correct Metric Tensor for the Unit Sphere?
- quasar987
- · Replies 3 ·
Graduate Is Spivak's Calculus on Manifolds worth reading before differential geometry?
- SeReNiTy
- · Replies 4 ·
Graduate Lie group, Riemannian metric, and connection
- marton
- · Replies 2 ·
Graduate Vectors, one-forms and gradients
- Neoma
- · Replies 71 ·
Graduate Can basis covectors be defined without a metric?
- masudr
- · Replies 19 ·
Graduate Riemannian volume form without local coordinates
- Don Aman
- · Replies 10 ·
Graduate Understanding Continuity on Manifolds
- pmb_phy
- · Replies 28 ·
Graduate Is Symmetry Present in the Derivatives of Normal Vectors on Surfaces?
- rych
- · Replies 3 ·
Graduate Exterior Derivative: A Visual Explanation
- KarateMan
- · Replies 2 ·
Undergrad Equation of a Helix: Find Answers to Parametric Equations
- NEWO
- · Replies 1 ·
Graduate Where can I find free or affordable resources for learning Reimann Geometry?
- mepcotterell
- · Replies 5 ·
Graduate Contraction of Curvature 2-Form for Calculating Ricci Tensor and Einstein Tensor
- Oxymoron
- · Replies 4 ·
Undergrad What is the Spherical Coordinate Equivalent of the Cartesian k Unit Vector?
- pivoxa15
- · Replies 4 ·
Graduate What is the One Form Needed for Div and Curl in 3-Space?
- SeReNiTy
- · Replies 2 ·
Graduate Linearly Independent Killing Fields in n-D Manifold
- Cexy
- · Replies 6 ·
Graduate Inverse function of a function of two variables
- closet mathemetician
- · Replies 1 ·
Graduate Geodesics in Minkowski Spacetime
- Oxymoron
- · Replies 2 ·
Graduate Is the Special Linear Group a Submanifold of the Space of Matrices?
- cmiller5277
- · Replies 6 ·
Graduate Covariant derivative of the gradient
- eljose
- · Replies 1 ·
Graduate How A Threesphere Would Look or Work?
- Silverbackman
- · Replies 7 ·
Graduate Rank condition in the Implicit Mapping Theorm
- cmiller5277
- · Replies 3 ·
Graduate Schwarzschild Solution using Cartan's Formalism
- Oxymoron
- · Replies 3 ·
Graduate How Do You Determine Basis Vectors for the Tangent Space of a Surface in R^4?
- Alteran
- · Replies 6 ·
Graduate Can we pullback and pushforward vector fields and functions on manifolds?
- Oxymoron
- · Replies 7 ·
Graduate Can Lie Algebra Structures Be Extended to Tangent Spaces Near the Identity?
- Pietjuh
- · Replies 1 ·
Graduate Various problems concerning Exterior calculus
- Oxymoron
- · Replies 17 ·
Graduate Why Is the Exterior Derivative Only Defined on Differential Forms in a Manifold?
- Oxymoron
- · Replies 6 ·
Undergrad Why is tensor analysis important and what is its history?
- sara_math
- · Replies 18 ·
Graduate Proving an Identity from Differential Geometry
- mannyfold
- · Replies 4 ·
Graduate Way to express a general vector field
- 0rthodontist
- · Replies 2 ·
Graduate Differential Geometry/Ricci Calculus Question
- mannyfold
- · Replies 6 ·
Graduate One-form is a linear map from a vector to a real number
- jwsiii
- · Replies 15 ·
Undergrad What is the relationship between wedge product and cross product?
- closet mathemetician
- · Replies 2 ·
Graduate Why Must We Contract Two Indices to Form the Ricci Tensor?
- Oxymoron
- · Replies 8 ·
Graduate Who discovered the general case of Stokes' Theorem?
- DeadWolfe
- · Replies 10 ·
Graduate Explicit or analytic formula for a homeomorphism
- sparkster
- · Replies 2 ·
Graduate 4 dimensional spacetime manifold question
- closet mathemetician
- · Replies 7 ·
Graduate Differential Forms vs. Directed Measures
- kryptyk
- · Replies 19 ·
Graduate What Does 'Vanishes Identically' Mean in Mathematical Context?
- Ratzinger
- · Replies 1 ·
Graduate Particle moves in a plane, and i've found that x.n=k
- jackbauer
- · Replies 1 ·
Undergrad Find (x,y) of a Point on an Ellipse Given Foci and Radii Info
- Crusty
- · Replies 2 ·
Graduate Is the Scalar \( R^{ji} R_{ij} - R^2 \) Recognized in Mathematical Physics?
- joschu
- · Replies 5 ·
Graduate What are the Spherical Interior Angles for Regular and Archimedean Solids?
- RandallB
- · Replies 11 ·
Graduate What objects, in General Relativity, carry units?
- pensano
- · Replies 3 ·
Graduate Why does a manifold need a metric tensor if it already has a topology?
- Ratzinger
- · Replies 16 ·
Graduate Acceleration Tensor - Rotating Frame
- PrinceOfDarkness
- · Replies 3 ·
Graduate What is the result of multiplying a matrix by the divergence of a vector?
- mkkrnfoo85
- · Replies 2 ·
Graduate Can Analytic Continuation Determine the Metric Over a 4-D Manifold?
- straycat
- · Replies 18 ·
Graduate Introduction to Differential Geometry
- JasonRox
- · Replies 28 ·
Graduate Inverse of the Stereographic Projection
- CMoore
- · Replies 5 ·
Graduate Why does directional derivative kernel contain only zero vectors?
- CMoore
- · Replies 3 ·
Graduate What are noncoordinate bases and why are they important?
- matness
- · Replies 17 ·