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 What is the Role of Lie Groups in Isometry Actions on Spaces?
- WWGD
- · Replies 2 ·
Graduate Geodesics in Modified Euclidean Spaces: Is There a General Statement?
- ledol83
- · Replies 6 ·
Graduate Connections in differential geometry
- Coin
- · Replies 13 ·
Undergrad Tensor learning resources with solved examples and exercises
- freak_rj
- · Replies 1 ·
Graduate Some elementary geometry questions
- haushofer
- · Replies 14 ·
Graduate What Does the Matrix A Represent in Manifold Gradient Calculations?
- Asuralm
- · Replies 1 ·
Graduate What is the connection between discrete torus geometry and lines on an NxN grid?
- Galileo
- · Replies 6 ·
Graduate Differential forms and divergence
- Damidami
- · Replies 9 ·
Graduate How Do Nearby Geodesics Deviate in Curved Spaces?
- ledol83
- · Replies 1 ·
Graduate Is (S^n) X R Parallelizable for All n?
- amd939
- · Replies 3 ·
Undergrad Convert the coordiates of one vector between 2 Cartesian system
- bigworld005
- · Replies 3 ·
Graduate Why does one form need to be used over the other?
- nrqed
- · Replies 65 ·
Graduate Isometric Immersion: Finding Geodesic Curves
- brown042
- · Replies 1 ·
Graduate Christoffel symbols from definition or Lagrangian
- noospace
- · Replies 6 ·
Graduate How Do Induced Maps Affect Higher Rank Tensors?
- quasar_4
- · Replies 1 ·
Graduate Tensor manipulation textbook for someone with linear algebra background
- quasar_4
- · Replies 13 ·
Undergrad Is there a general formula for arc length on an ellipse?
- natski
- · Replies 6 ·
Graduate Is the Submersion Property Preserved in Maps Between R and S^1?
- quasar987
- · Replies 3 ·
Graduate Why are tangent vectors like this?
- jostpuur
- · Replies 4 ·
Graduate Symmetrizing and skew symmetrizing tensors
- quasar_4
- · Replies 1 ·
Graduate Is the Boundary of an n-Dimensional Space Always n-1 Dimensional?
- princeton118
- · Replies 6 ·
Graduate Identities for covariant derivative
- CompuChip
- · Replies 4 ·
Graduate To distinguish if a critical point is a saddle point or not,. .
- alexio
- · Replies 1 ·
Graduate Proving Existence of Vector Field X for 1-Form w on Smooth Manifold M
- daishin
- · Replies 6 ·
Graduate Proof of Proposition 2 in Ch.7 Spivak Vol.2: n-Dimensional Distribution?
- joe2317
- · Replies 1 ·
Graduate Differential Forms on Smooth Manifolds
- daishin
- · Replies 3 ·
Graduate Can this vector equation be proven?
- R3DH34RT
- · Replies 7 ·
Undergrad How Do You Reverse a Vector Transformation?
- R3DH34RT
- · Replies 4 ·
Graduate Spivak Vol. 2: covariant derivative definition and Christoffel symbols
- brown042
- · Replies 13 ·
Undergrad Create bezier curve from 2 conected curve
- temp
- · Replies 2 ·
Graduate What is the purpose of contraction in tensor algebra?
- joe2317
- · Replies 4 ·
Graduate Tensor Newbie trying to find Kolecki's rhythm
- jbowers9
- · Replies 11 ·
Graduate Holonomy, SO(6), SU(3) and SU(4)
- AlphaNumeric2
- · Replies 2 ·
Graduate The Cramer-Euler-McLaurin Paradox
- Chris Hillman
- · Replies 12 ·
Graduate Evaluate Ai = (Epsilon)ijk bj bk
- R3DH34RT
- · Replies 18 ·
Graduate Where can I find solved problems on manifolds?
- ala
- · Replies 15 ·
Graduate Active vs passive transformations in Weyl rescaling and conformal maps
- nrqed
- · Replies 7 ·
Graduate Exact definition of differential forms
- cogito²
- · Replies 9 ·
Undergrad Describing Curvature of a Non-Uniform Curve Using Second Derivative Average?
- ice109
- · Replies 7 ·
Graduate Converting Eulerian velocity V1 = k*z1 to Lagrangian motion
- jon8105
- · Replies 1 ·
Graduate Taking a course in calculus on manifolds.
- MathematicalPhysicist
- · Replies 9 ·
Graduate Symmetric Matrices as Submfld. of M_n. Prelim
- WWGD
- · Replies 10 ·
Graduate Universal coefficient theorem for homology: computing with coefficients in Z₂
- Coolphreak
- · Replies 1 ·
Graduate What is the significance of \hat{\theta} in polar vector coordinates?
- ice109
- · Replies 4 ·
Graduate Proving Equivalence of Lie Bracket Definitions for Lie Groups
- Fredrik
- · Replies 4 ·
Graduate There is one point I don't understand about G-torsor.
- kakarukeys
- · Replies 4 ·
Graduate One-Parameter Groups:John Lee's Vector Field Analysis
- WWGD
- · Replies 3 ·
Graduate Poisson's Identity: Solving ((φλ)χ)+((λχ)φ)+((χφ)λ)=0
- aggarwal
- · Replies 1 ·
Graduate Thurston Geometries: Get the Facts on Left-Invariant Metrics
- Reverie
- · Replies 3 ·
Graduate Is a Function from R^n to R^m Considered a 0-Form on R^n?
- quasar987
- · Replies 9 ·
Undergrad Sketch of curves defined by parameters
- smoothman
- · Replies 3 ·
Graduate Why can't all open balls in a metric space be expressed as unions of basis elements?
- matness
- · Replies 11 ·
Undergrad Deriving the Surface Area of Sphere
- ron_jay
- · Replies 7 ·
Graduate Tensor Conventions for Contravariant and Covariant Notation
- quasar987
- · Replies 1 ·
Graduate Smooth Charts on immersion image.
- WWGD
- · Replies 0 ·
Graduate Continuous Function f: A x B to C
- kakarukeys
- · Replies 8 ·
Graduate Physical significance of the Lie derivative in tensor analysis
- captain
- · Replies 2 ·
Graduate Is the dot product P·e₀ a scalar in Schutz's definition?
- pmb_phy
- · Replies 25 ·
Graduate Sufficient Condition for Adjoint Representation Kernel to be Lie Group Center
- kakarukeys
- · Replies 1 ·
Graduate Why is Schouten's book on tensor analysis not recommended for physicists?
- uiulic
- · Replies 1 ·
Graduate Feedback on tensor and geodesics tutorial pages
- pmb_phy
- · Replies 15 ·
Undergrad Why is Time Considered a Scalar in Mathematics and Physics?
- uiulic
- · Replies 3 ·
Graduate How can the isomorphism of pullback bundles by homotopic maps be proven?
- kakarukeys
- · Replies 6 ·
Graduate Tangent spaces and derivations
- StatusX
- · Replies 14 ·
Graduate Angle preserving transformations
- bigli
- · Replies 1 ·
Graduate Learn About Grassmann Manifolds: Intro, Charts, Atlas
- bigli
- · Replies 5 ·
Graduate How to relate a one form to a vector.
- matheinste
- · Replies 29 ·
Graduate A simple derivation involving the Hodge dual
- nrqed
- · Replies 4 ·
Graduate Can You Perform Vector Calculations in Fractal Dimensions?
- Niv
- · Replies 3 ·
Graduate Functions α, β, γ, δ for ℝ² ×_φ ℝ semidirect product Lie groups
- Reverie
- · Replies 3 ·
Graduate Evaluating Symmetric/Antisymmetric Tensors Rank 5 Dimension 999
- Rahat
- · Replies 1 ·
Graduate Elementary Differential Geometry Questions
- Saketh
- · Replies 11 ·
Graduate How to Find the Inverse of a 4th Order Tensor in the Isotropic Case
- titous
- · Replies 6 ·
Graduate How many coordinate charts does it take to cover a surface?
- DeadWolfe
- · Replies 12 ·
Undergrad Proving the theorem (Appolonius) for the triangle ABC where..
- thagamizer
- · Replies 2 ·
Graduate How to Prove contracted Bianchi Identity
- jojoo
- · Replies 5 ·
Graduate Limitations of Tensor Analysis in Physical Laws
- uiulic
- · Replies 24 ·
What Are Tensors and Why Should You Care?
- uiulic
- · Replies 12 ·
Graduate What is the formula for defining curvature on three-dimensional surfaces?
- KingBongo
- · Replies 10 ·
Graduate How Does the Selberg Trace Formula Connect Eigenvalues and Manifold Properties?
- tpm
- · Replies 1 ·
Graduate Expressing the Minkowski Field Tensor for Circular Currents
- Norman Albers
- · Replies 4 ·
Graduate Slow Roll Parameters: Deriving and Computing
- AlphaNumeric
- · Replies 1 ·
Curve with ever increasing radius
- bobbobwhite
- · Replies 5 ·
Graduate Can a stress tensor be curled in physics?
- touqra
- · Replies 7 ·
Graduate How Is the Weyl Tensor Derived?
- SeReNiTy
- · Replies 18 ·
Graduate How do higher-order tensors work and what are the calculation rules?
- blue angel
- · Replies 2 ·
Graduate What are the expressions for CURL in spherical coordinates?
- Norman Albers
- · Replies 15 ·
Graduate Building Invariants from Vector, Levi-Civita Symbol
- tannin
- · Replies 6 ·
Graduate What is the contravariant derivative and how does it differ from the covariant derivative?
- bchui
- · Replies 3 ·
Graduate Bilinear forms and wedge products
- homology
- · Replies 4 ·
Graduate What is the Spacetime Metric and its Describing Equations in Layman's Terms?
- delta001
- · Replies 12 ·
Graduate What is the relationship between k-forms and l-forms on an m-manifold?
- blendecho
- · Replies 1 ·
Graduate Why isn't the Ricci tensor symmetric in the Schwarzschild metric?
- Mentz114
- · Replies 16 ·
Graduate Gradient projection on surfaces for variational evolution
- danrop
- · Replies 2 ·
Graduate Zero homomorphisms in exact sequences and their meaning
- Firefly!
- · Replies 6 ·
Undergrad Math Newb Wants to know what a Tensor is
- StonedPanda
- · Replies 90 ·
Undergrad Rotating 2D coordinate geometry/conic sections into 3D - how?
- chaoseverlasting
- · Replies 7 ·
Graduate Is a Second Order Symmetric Tensor Always Represented by a Symmetric Matrix?
- BobbyFluffyPric
- · Replies 10 ·
Undergrad What Are Partitions of Unity in Mathematics?
- Terilien
- · Replies 1 ·
High School What is the Poincaré conjecture in layman's terms?
- Ragnar
- · Replies 7 ·