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 Tangent vector as derivation question
- orion
- · Replies 9 ·
Graduate Implicit Function Theorem Generalization
- modnarandom
- · Replies 2 ·
Graduate Can contraction of a tensor be defined without using coordinates?
- andrewkirk
- · Replies 2 ·
Graduate Learn Submanifold Definition in Differential Geometry
- orion
- · Replies 17 ·
Graduate Get vector position projected on line
- twoski
- · Replies 1 ·
Graduate Definition of tensors - abstract and concrete
- hunt_mat
- · Replies 5 ·
Graduate How to prove the bilinearity of a given metric using tensorial product addition?
- Simone Furcas
- · Replies 4 ·
Graduate What is the mistake in my coordinate transformation for Theorema Egregium?
- Simone Furcas
- · Replies 4 ·
Graduate Projection of a point from one plane onto another
- cptolemy
- · Replies 7 ·
Graduate Local parameterizations and coordinate charts
- "Don't panic!"
- · Replies 14 ·
Graduate Equidistant points on the suface of a sphere
- rootone
- · Replies 16 ·
Undergrad Excellent video series raises good question:
- BiGyElLoWhAt
- · Replies 6 ·
Graduate Raising and Lowering Indices and metric tensors
- Physicist97
- · Replies 4 ·
Undergrad What are the normalized vectors in polar coordinates?
- Bruno Tolentino
- · Replies 8 ·
Graduate Differentiating maps between vector spaces
- modnarandom
- · Replies 5 ·
Undergrad Hyperbolic space game: math help
- googolplexking
- · Replies 4 ·
Graduate Displacement Operator: Exponential of Parameter & Vector?
- dyn
- · Replies 8 ·
Undergrad Sphere in Cube: Can it be Defined?
- Atlas3
- · Replies 13 ·
Graduate Coordinate charts and change of basis
- "Don't panic!"
- · Replies 17 ·
Graduate Understanding the Gradient in Different Coordinate Systems
- bronxman
- · Replies 14 ·
Graduate Calculating Area on Sphere: Unit Sphere & Rings
- Vrbic
- · Replies 4 ·
Graduate Are There Special Properties of Geodesics in a Lie Group?
- Andre' Quanta
- · Replies 2 ·
Undergrad Point movement on a surface of a sphere
- Sobe118
- · Replies 7 ·
Graduate Could someone critique this? (Lie Group with the Lie Algebra)
- bronxman
- · Replies 14 ·
Graduate Calculus on Manifolds: Lie Algebra, Lie Groups & Exterior Algebra
- bronxman
- · Replies 7 ·
Graduate What are the key differences between a manifold and a submanifold?
- bronxman
- · Replies 9 ·
Graduate Torus parametrization and inverse
- Jess_l
- · Replies 1 ·
Graduate Differential map between tangent spaces
- "Don't panic!"
- · Replies 12 ·
Graduate Proof of dimension of the tangent space
- hideelo
- · Replies 8 ·
Graduate Principal normal and curvature of a helix
- kkz23691
- · Replies 6 ·
Graduate Infinitesimal displacement in spherical coordinates
- PWiz
- · Replies 3 ·
Graduate Understanding the Tensor Product of Two One-Forms in Differential Geometry
- "Don't panic!"
- · Replies 2 ·
Graduate As accurately as possible draw a curve in the real space R2
- starterYEAR
- · Replies 2 ·
High School What is the Measure of Angle BAC in This Circle Geometry Problem?
- PsychonautQQ
- · Replies 2 ·
Graduate Surface joining two points in a family of concentric spheres
- DivGradCurl
- · Replies 9 ·
Graduate The speed of a curve in different coordinate systems
- kkz23691
- · Replies 4 ·
Graduate Why is a gradient not always a vector
- Alain De Vos
- · Replies 4 ·
Graduate Problem with definition of tensor
- ShayanJ
- · Replies 10 ·
Graduate Proof the shortest path on a sphere is the great circle.
- trytodoit
- · Replies 10 ·
Graduate Projection stereographic and second fundamental form
- Simone Furcas
- · Replies 4 ·
Undergrad Parametric equations of various shapes
- Raghav Gupta
- · Replies 3 ·
Graduate Counting Degrees of Freedom in Tensor
- "pi"mp
- · Replies 13 ·
Graduate Ricci tensor equals zero implies flat splace?
- Abrahamsk8
- · Replies 3 ·
Graduate Curve extrapolation: polynomial or Bézier?
- MisterH
- · Replies 8 ·
Undergrad How to convert a hyperbolic system to cartesian?
- Bruno Tolentino
- · Replies 5 ·
Undergrad Equation of family of circles
- AdityaDev
- · Replies 3 ·
Graduate Noethers theorem, physics and mathematics
- JVM
- · Replies 7 ·
Graduate How to derive the formula for moment of inertia of polygon?
- trytodoit
- · Replies 2 ·
Graduate A technical question that has to do with Hodge Star
- PhyAmateur
- · Replies 8 ·
Graduate 'curve-in' condition in an equiangular spiral
- Corse
- · Replies 1 ·
Graduate Minimal Surface between two different coaxial circules
- RafaelPetros
- · Replies 7 ·
Graduate Integration of Ricci Scalar Over Surface
- darida
- · Replies 5 ·
Graduate Parametrizing a Complex Curve on a Torus Surface
- TESL@
- · Replies 2 ·
Graduate Rotation matrix about an arbitrary axis
- Happiness
- · Replies 2 ·
Graduate Rotate a three-sphere so every point moves in R^4?
- Spinnor
- · Replies 4 ·
Graduate Constructing S^3 from a S^2 and a bunch of S^1's?
- Spinnor
- · Replies 13 ·
Graduate Why $H$ is a (1,2) tensor field?
- CAF123
- · Replies 3 ·
Graduate Do not understand concept of Riemann geometry.
- Enrico Fermi
- · Replies 1 ·
Graduate Hodge duality and differential forms
- PhyAmateur
- · Replies 4 ·
Graduate Levi-Civita Symbol and indefinite metrics
- Geometry_dude
- · Replies 2 ·
Graduate Equation (with polar coordinates) of circle on a sphere
- mario991
- · Replies 5 ·
Graduate What is an inclusion map? (manifolds)
- Fellowroot
- · Replies 6 ·
Undergrad How to Find the Area of a Truncated Ellipse?
- AlexK864
- · Replies 4 ·
Graduate Confocal ellipse and hyperbola
- Ananya0107
- · Replies 6 ·
Graduate How Does Gradient Impact Sphere Rolling Direction on a Surface?
- uzman1243
- · Replies 13 ·
Graduate What is the interpretation of dx in calculus?
- "Don't panic!"
- · Replies 48 ·
Graduate Set of points in S^3, way to show spaced equal or not?
- Spinnor
- · Replies 1 ·
Graduate Pi and the curvature of the universe
- Cato
- · Replies 6 ·
Graduate Curves and tangent vectors in a manifold setting
- CAF123
- · Replies 2 ·
Graduate Integrating Forms on Manifolds: Understanding the Concept and Techniques
- "Don't panic!"
- · Replies 25 ·
Graduate Tangent vectors as directional derivatives
- "Don't panic!"
- · Replies 36 ·
Graduate Can one "chop" up S^3 into little cubes?
- Spinnor
- · Replies 1 ·
Graduate Understanding Manifolds: Questions & Answers
- Fellowroot
- · Replies 4 ·
Graduate Working out a point / segment on a sphere
- rede96
- · Replies 3 ·
Graduate Intuition and existence for convex neighbourhoods
- center o bass
- · Replies 5 ·
Find Length of Arc EF in Triangle ABC
- Albert1
- · Replies 2 ·
Graduate Why are vectors defined in terms of curves on manifolds
- "Don't panic!"
- · Replies 14 ·
Graduate What is the parity inversion of antisymmetric tensor
- genxium
- · Replies 2 ·
Graduate Calculating Equations of Ellipses Within a Cone
- cpman
- · Replies 3 ·
Graduate A suggested operational definition of tensors
- Will Flannery
- · Replies 2 ·
Graduate Koszul Connexion: Explained Simply
- Calabi
- · Replies 8 ·
Graduate Attempting to understand diffeomorphisms
- "Don't panic!"
- · Replies 16 ·
Graduate Is this a valid parametrization of the torus?
- hideelo
- · Replies 3 ·
Graduate What Does Equation 5.7 in Introducing Einstein's Relativity Really Mean?
- Corbeau
- · Replies 8 ·
Graduate Question about geometric algebra -- Can any one help?
- Summetros
- · Replies 1 ·
Graduate Confusion About Notation with Tensors
- B3NR4Y
- · Replies 5 ·
Any value to Spivak's Differential Geometry set?
- toozie21
- · Replies 6 ·
Graduate Diffeomorphisms and active transformations
- "Don't panic!"
- · Replies 4 ·
Graduate A question on defining vectors as equivalence classes
- "Don't panic!"
- · Replies 14 ·
Graduate How does regularity of curves prevent "cusps"?
- center o bass
- · Replies 3 ·
Graduate Show that this vector is timelike?
- Dixanadu
- · Replies 9 ·
PDE or differentiable manifolds?
- mathmari
- · Replies 3 ·
Graduate Difference between "intrinsic"and "parametric" curvature
- hideelo
- · Replies 2 ·
Search for Senior Undergraduate Text on Lie Theory and Groups
- Math Amateur
- · Replies 6 ·
Graduate Where do I start learning differential geometry?
- PWiz
- · Replies 1 ·
Graduate Lie Dragging and Lie Derivatives
- Zag
- · Replies 9 ·
Graduate Questions about tangent spaces & the tangent bundle
- "Don't panic!"
- · Replies 11 ·
Graduate Understanding the notion of a tangent bundle
- "Don't panic!"
- · Replies 17 ·
Graduate Tensor Fields - Tensor Product of Two Gradient Operators
- barnflakes
- · Replies 3 ·
Graduate Surface area of a region of a torus
- O2F
- · Replies 5 ·