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 How Do Changes in Curvilinear Coordinates Affect Unit Vectors?
- Swapnil
- · Replies 9 ·
Graduate Bonnet transformation from alpha-helix to catenoid structure
- akoska
- · Replies 1 ·
Graduate Can Geodesics Be Inflectional in Euclidean Space?
- humanino
- · Replies 3 ·
Undergrad When do components transform as vectors?
- BobbyFluffyPric
- · Replies 42 ·
Graduate How to get the normal bivector to a surface?
- HolyPhia
- · Replies 2 ·
Graduate Einstein notation with Levi-Civita symbol and Kronecker delta
- Tiggy
- · Replies 1 ·
Graduate WHY there is no scalar equation for a line in three dimensions ?
- Rosicky08
- · Replies 7 ·
Graduate What is the Equation of the Ellipse in 3D for Magnetic Field Visualization?
- Klaws
- · Replies 11 ·
Graduate Proving Stokes Theorem: The Intuition and Application
- Terilien
- · Replies 4 ·
Graduate From Christoffel symbols to connection 1-forms
- cosmicstring1
- · Replies 12 ·
Graduate That given a continuous surface, contour lines exist
- JamesTheBond
- · Replies 6 ·
Graduate Connection coefficients entering differential operators
- masudr
- · Replies 1 ·
Undergrad Circumscribing a sphere with a tetrahedron
- DaveC426913
- · Replies 8 ·
Graduate How to visualize the orientation of bivectors and trivectors
- Swapnil
- · Replies 7 ·
Graduate Can the Laplacian of a Scalar Field be Considered as its Curvature?
- Swapnil
- · Replies 2 ·
Graduate Riemann-Tensor have in n- dimensional space?
- Thaakisfox
- · Replies 5 ·
Graduate Is the 'distance function' the same as the 'metric' in physics texts?
- pmb_phy
- · Replies 35 ·
Graduate Geodesics and the Action Principle
- AiRAVATA
- · Replies 3 ·
Graduate Original motivation of differential geometry
- Terilien
- · Replies 25 ·
Graduate Hypervolume of a Hypercube in Minkowski Space
- MeJennifer
- · Replies 11 ·
Graduate Computing Christoffel symbols before studying curvature
- Terilien
- · Replies 7 ·
Graduate Killing Vector Fields: Generating Local Transformations?
- kakarukeys
- · Replies 3 ·
Undergrad Axes of an ellipse. I on this
- sutupidmath
- · Replies 2 ·
Graduate Tensor products and tensor algebras
- asub
- · Replies 1 ·
Graduate Recommendations for diff geom. textbook
- AlphaNumeric
- · Replies 17 ·
Graduate What motivates the covariant derivative?
- Terilien
- · Replies 12 ·
Graduate Differential of lin. transformation between vector spaces
- cliowa
- · Replies 17 ·
Graduate Helmholtz Theorem on Decomposition of Vectors
- Gonçalo
- · Replies 1 ·
Graduate Searching for a point in space
- JoAuSc
- · Replies 2 ·
Graduate Understanding RP^n and CP^n: Geometric Projective Spaces
- AlphaNumeric
- · Replies 4 ·
Graduate Simply Connected and Fundamental Group
- waht
- · Replies 2 ·
High School Problem on tangents to a cirlce
- anantchowdhary
- · Replies 8 ·
Undergrad Calculating Minimum Distance Between Two Co-ordinates on Earth
- lbass
- · Replies 2 ·
Graduate Differential geometry recommendations
- Terilien
- · Replies 2 ·
Graduate Why do two lines have to be 'great circles' on a sphere?
- bjgawp
- · Replies 5 ·
Graduate How to FULLY understand a definition?
- andytoh
- · Replies 30 ·
Undergrad I have difficulty in visualizing the divergence of vector fields.
- hanson
- · Replies 2 ·
Graduate Why does the tensor product form a basis for any higher-order tensor?
- Terilien
- · Replies 37 ·
Graduate Which Book on Riemannian Geometry Balances Intuition and Minimal Prerequisites?
- Ragnar
- · Replies 35 ·
Graduate The tensor product and its motivation
- Terilien
- · Replies 3 ·
Undergrad What Curve Results from the Centers of Perpendicular Lines to an Ellipse?
- transgalactic
- · Replies 7 ·
Graduate Calculating Metric/Metric Tensor for Curved Spaces
- marcusesses
- · Replies 1 ·
Undergrad Gaussian Geometry: Finding Resources Online
- Terilien
- · Replies 2 ·
Graduate Lie dragging a vector around the ellipse
- wandering.the.cosmos
- · Replies 5 ·
Graduate Kronecker Delta: A Relativity and Tensor Explanation
- Terilien
- · Replies 5 ·
Graduate How Can I Prove This Metric is Flat?
- astronomia84
- · Replies 16 ·
Undergrad What is the tensor product?
- Ragnar
- · Replies 1 ·
Graduate How do I calculate the volume of a hypercylindrical shape in n dimensions?
- americanforest
- · Replies 3 ·
Graduate From Simple Groups to Quantum Field Theory
- Mehdi_
- · Replies 43 ·
Graduate Lie vs Covariant Derivative: Intuitive Understanding
- sit.think.solve
- · Replies 3 ·
Graduate Hello,I am doing a project on Riemann, but. .
- pibomb
- · Replies 8 ·
Graduate How do we derive the metric tensor?
- Ragnar
- · Replies 3 ·
Undergrad Intersection of two 3D parametric curves
- Quaoar
- · Replies 4 ·
Undergrad Schaum's Outline: Tensor Calculus Intro Basics
- Ragnar
- · Replies 1 ·
Graduate How Can Infinite Subcovers Exist in Compact Spaces Without Contradiction?
- quantum123
- · Replies 5 ·
Graduate What are the general equations of geodesics on a cylinder's surface?
- tehno
- · Replies 11 ·
Graduate Deriving a Small Circle Equation in Spherical Coordinates: Any Pointers?
- whatta
- · Replies 1 ·
Graduate Definition of differentiability on a manifold
- quasar987
- · Replies 15 ·
Undergrad Equation for a wedge-shaped plane with four different gradients
- stu807
- · Replies 4 ·
Graduate Can a Surface in R³ Have This Prescribed Riemannian Metric?
- KarstenKarsten
- · Replies 6 ·
Graduate Understanding Tensor Components: The Role of Index Order in Vector Spaces
- quasar987
- · Replies 4 ·
Undergrad Understanding Stoke's Theorem: Does Surface Integral Depend on Shape?
- nolanp2
- · Replies 2 ·
Graduate What is the difference between covariant and contravariant vector fields?
- StatusX
- · Replies 62 ·
Graduate Curl of Function: Constant Magnitude or Way Off?
- nolanp2
- · Replies 5 ·
Graduate Linear transition maps on manifolds
- vanesch
- · Replies 7 ·
Graduate Inverting the Kähler metric for the Westphal potential
- AlphaNumeric
- · Replies 1 ·
Graduate Proving the Mapping f:S^2\times \mathbb{R} \rightarrow S^2
- cristo
- · Replies 7 ·
Graduate What Does \partial_{[\mu}\omega_{\nu]} Mean?
- Jheriko
- · Replies 13 ·
Graduate Covariant and Contravariant Rank-2 Tensors
- Truth Finder
- · Replies 2 ·
Graduate Which Textbook Best Teaches Tensor Analysis for General Relativity?
- Nusc
- · Replies 31 ·
Graduate Pointcare Conjecture - Grigory Perelman's Proof
- Chaos' lil bro Order
- · Replies 2 ·
Graduate Lagrange equations with constraints
- r4nd0m
- · Replies 3 ·
Graduate Proving Sphere has Minimal Surface Area for Volume
- pivoxa15
- · Replies 2 ·
Graduate How to prove Cartan's identity using the interior product
- SeReNiTy
- · Replies 3 ·
Graduate Geometric meaning of the Hodge star operator
- leon1127
- · Replies 1 ·
Graduate Spherical-esque Coordiante System
- LeBrad
- · Replies 4 ·
Graduate Proving the interior product formula for wedge products
- AiRAVATA
- · Replies 4 ·
Graduate Proving Decomposability of Forms in Spivak's Book (Vol. 1, Chap. 7)
- AiRAVATA
- · Replies 1 ·
Undergrad Tensors for special relativity: coordinate-free or classical approach?
- aeroboyo
- · Replies 16 ·
Graduate My Solutions to Tensors and Manifolds
- andytoh
- · Replies 1 ·
Graduate How Do Complex Eigenvalues Affect Numerical Solutions of PDE Systems?
- desA
- · Replies 2 ·
Graduate Book on tensor symmetry, geometries, surfaces
- desA
- · Replies 2 ·
Graduate How Do Isometries of the n-Torus Relate to R^n?
- Palindrom
- · Replies 3 ·
Graduate Noncoordinate basis vector fields
- desic
- · Replies 1 ·
Graduate Hypersurfaces with vanishing extrinsic curvature
- arild
- · Replies 3 ·
Graduate Who is the author of Differential Forms book?
- acm
- · Replies 5 ·
Graduate Theorem of Curves in higher dimensions
- eddo
- · Replies 8 ·
Graduate Levi-civita permutation tensor, and kroneker delta
- Divisionbyzer0
- · Replies 6 ·
Graduate Why does ωᵢωᵢ equal ½ω² in index notation?
- Peregrine
- · Replies 3 ·
Graduate Tangent space, derivation defifinition
- mrandersdk
- · Replies 8 ·
Graduate Understanding Index Notation in Tensor Calculus?
- Peregrine
- · Replies 5 ·
Graduate Gradients of Vectors and Dyadic Products
- ObsessiveMathsFreak
- · Replies 8 ·
Graduate Proving Wedge Product Property for Alternating Tensors
- ak416
- · Replies 11 ·
Graduate Does Pi Change in Curved Space Geometry?
- Coloured_muffin
- · Replies 2 ·
Graduate Is Einstein Notation Used Consistently in Tensor Analysis on R³?
- quasar987
- · Replies 7 ·
Graduate How Can I Visualize the Exterior Derivative 'd' in Differential Geometry?
- r16
- · Replies 89 ·
Graduate Possible Generalization of Cross Product?
- SeReNiTy
- · Replies 7 ·
Graduate Inner product Pythagoras theorem
- motlking
- · Replies 3 ·
Graduate Principle Bundles: Right or Left Action?
- pensano
- · Replies 4 ·
Graduate Spivak calculus on manifolds solutions? (someone asked this b4 and got ignored)
- precondition
- · Replies 6 ·