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 Understanding the Product Rule in Lie Groups: How Does it Differ from Calculus?
- Monocles
- · Replies 1 ·
Graduate What is the concept of Dual Spaces and how do they relate to vector spaces?
- piareround
- · Replies 2 ·
Graduate How Many Critical Points Must a Morse Function Have on a Sphere?
- pp31
- · Replies 9 ·
Graduate Are All Manifolds Triangulable?
- quasar987
- · Replies 5 ·
Graduate Global diffeomorphism with tangent bundle
- Monocles
- · Replies 7 ·
Graduate Compactness of A: Proving it is a Subset of R
- Buri
- · Replies 6 ·
Graduate Compact Sets: Need help understanding
- Buri
- · Replies 2 ·
Graduate Fiber Bundle Basics: An Overview of Penrose's Twisted Bundles
- Rasalhague
- · Replies 35 ·
Graduate Limit points and exterio points Quick quesiton
- Buri
- · Replies 2 ·
Graduate Where Can I Find Quality Resources for Learning Geometry?
- Jerbearrrrrr
- · Replies 1 ·
Undergrad A circle where every chord intersects every other chord?
- gsingh2011
- · Replies 8 ·
Graduate Is the Normal Spherical Image of a Curve Always Non-Constant?
- drc4rd1n
- · Replies 2 ·
Undergrad Understanding Kleins Bottle: Explained in Layman's Terms
- srijithju
- · Replies 11 ·
Graduate How can the Frenet Frame Equations for Curves in R_3 be correctly interpreted?
- factor
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Graduate An interesting problem (closure, limit points)
- Buri
- · Replies 2 ·
Graduate Is the Countable Complement Topology a Valid Topology on the Real Line?
- Fluffman4
- · Replies 1 ·
Graduate How would we express the curvature of the 2-dimensional surface of a
- Gear300
- · Replies 1 ·
Graduate Is the Smooth Structure on 2-Manifolds Unique?
- quasar987
- · Replies 4 ·
Graduate A classical morse theory question
- HMY
- · Replies 1 ·
Graduate Understanding Compactness in Metric Spaces: Closed, Bounded, and Open Covers
- Buri
- · Replies 2 ·
Graduate Is the Product of Hausdorff Spaces Always Hausdorff?
- emptyboat
- · Replies 2 ·
What are some insightful quotations about topology?
- mersecske
- · Replies 7 ·
Graduate Can we homotope away a (non-trivial) knot.?
- Bacle
- · Replies 1 ·
Undergrad Fitting Spheres into Arbitrary Geometry
- pvanderson
- · Replies 1 ·
Graduate Proving Equivalence of Standard and Basis-Generated Topologies on RxR
- hello12154
- · Replies 4 ·
Graduate Why does Chern class belong to INTEGER cohomology class?
- genh
- · Replies 41 ·
Graduate Rectangle question and closure of the interior?
- Buri
- · Replies 1 ·
Graduate Metrizable Space: Open Sets as Countable Unions of Basis Elts?
- jem05
- · Replies 1 ·
Graduate What Function Types and Inverses Can Exist Between Different Cardinalities?
- ded8381
- · Replies 4 ·
Graduate Cl(A) smallest closed set containing A.
- Buri
- · Replies 2 ·
Graduate DeRham Cohomology in Bott and Tu
- Bacle
- · Replies 7 ·
Graduate How to understand that RP2 is non-orientable?
- wdlang
- · Replies 25 ·
Graduate Is [a,b] ever an open set in the order topology?
- Zoomingout
- · Replies 3 ·
Graduate Is the Magnitude of Descent Directions on Manifolds Meaningful?
- Kreizhn
- · Replies 2 ·
High School What shape would the arcade classic Asteroids' universe be?
- Blue_Jaunte
- · Replies 7 ·
Undergrad A. 2 circles that have the same center have their radiuses
- Britney2
- · Replies 2 ·
Undergrad Finding Point Along a Circle with Radius & Arc-Length
- robindude
- · Replies 6 ·
Graduate Covariant derivative vs. Lie derivative
- Quchen
- · Replies 26 ·
Graduate Do Sets in Discrete Topological Spaces Have Boundaries?
- Riemannliness
- · Replies 2 ·
Graduate Understanding the Parallel Transport Problem in Riemannian Geometry
- drgigi
- · Replies 1 ·
Graduate Are these two shapes topologically same
- n.karthick
- · Replies 10 ·
Graduate Is a Curved Surface Truly 2 Dimensional if Bent in 3D Space?
- tgm1024
- · Replies 21 ·
Undergrad Lines and planes (Scalar equation + pt. of int.)
- Lornt
- · Replies 3 ·
Graduate Solve cubic equations using neusis
- GenePeer
- · Replies 2 ·
Graduate A question about vector space manifold
- huyichen
- · Replies 9 ·
Undergrad Eulerian Path Analysis: Is My Figure Drawable?
- Krypt0s
- · Replies 4 ·
Graduate Difference between covariant and contravariant levi-civita tensor?
- randombill
- · Replies 9 ·
Graduate How Does Topology Relate to DNA Structure and Function?
- thE3nigma
- · Replies 2 ·
Graduate Visualizing the Topology of CP^1 = S^2
- quasar987
- · Replies 7 ·
Graduate Why Can't S² Have a Globally Flat Geometry?
- tom.stoer
- · Replies 17 ·
Graduate Tangent to reparameterized curve
- monea83
- · Replies 2 ·
Graduate Projection of a differentiable manifold onto a plane
- Etherian
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Graduate Simplex splitting using center of gravity
- vlnikolic
- · Replies 10 ·
Graduate Shortest distance from a point to a line
- neros
- · Replies 9 ·
Graduate Visualising sheaves and presheaves
- adammclean
- · Replies 1 ·
Graduate Does a Torus Universe Allow for Isotropic Coordinates?
- tom.stoer
- · Replies 10 ·
Graduate Understanding Tensors and Their Role in General Relativity
- AdrianZ
- · Replies 22 ·
Graduate Is Every Discrete Isotropy Group of an R^n Action Isomorphic to Z/kZ?
- FreHam
- · Replies 7 ·
Graduate Covariant and exterior derivatives
- Rasalhague
- · Replies 28 ·
Graduate Time Parameterizations and Diffeomorphisms
- FreHam
- · Replies 4 ·
Graduate Euclidean space, euclidean topology and coordinate transformation
- Fernsanz
- · Replies 8 ·
Graduate Is This Mod 2 Cohomology Class on Surfaces Geometrically Significant?
- lavinia
- · Replies 1 ·
Graduate Coexistence of Tensor and Geometric Products in Multilinear Algebra
- Rasalhague
- · Replies 8 ·
Graduate Understanding the Hyperbolic Distance Formula: Deriving Log QA.PB/QB.PA
- Kevin_Axion
- · Replies 2 ·
Graduate Going crazy trying to understand projective CP1 and CPn
- camel_jockey
- · Replies 10 ·
Graduate Connections of degenerate metrics
- haushofer
- · Replies 1 ·
Undergrad How Does Rotating an Ellipse's Major Axis Affect Its Equation?
- rapids79
- · Replies 3 ·
Graduate Standard Square is not a Smooth Submanifold of R^2
- Bacle
- · Replies 4 ·
Graduate Properties of Derivations and of Tangent Vectors
- Bacle
- · Replies 4 ·
Graduate What's the fundamental group of a punctured torus?
- kakarotyjn
- · Replies 3 ·
Graduate Can Lie Derivatives be Defined Without Dragging on Manifolds?
- wdlang
- · Replies 2 ·
Graduate Question concerning compact subtopologies on Hausdorf spaces
- Kalimaa23
- · Replies 2 ·
Graduate Points on opposite sides a paper Mobius strip.
- Spinnor
- · Replies 1 ·
Graduate Calculating Curvature of 3D Hyperboloid - Parameters & Extrinsic Curvature
- AWA
- · Replies 3 ·
Graduate Proving the Accuracy of a Car Toe Alignment Tool: Equations and Models Explained
- wrencher
- · Replies 1 ·
Graduate Dimensionality of Non-Euclidean geometry
- yuiop
- · Replies 3 ·
Graduate Solving Spherical Rolling Problem - Hossein
- hmoein
- · Replies 2 ·
Graduate Topological space satisfying 2nd axiom of countability
- radou
- · Replies 4 ·
Graduate Curves & Parameters on a Manifold M
- Rasalhague
- · Replies 2 ·
Graduate How does a one form relate to a vector field under a change of coordinates?
- Geometrick
- · Replies 16 ·
Graduate Help With Raising and Lowering Indices
- dm4b
- · Replies 2 ·
Graduate How Is a Point Reflected Across a Plane in Vector Form?
- Charles49
- · Replies 4 ·
Graduate Proving the Connectedness and Compactness of a Topological Space
- radou
- · Replies 9 ·
Undergrad Distance between point and curve
- ocohen
- · Replies 2 ·
Graduate Differential forms as antiderivatives?
- Tomsk
- · Replies 11 ·
Graduate Inverse map of a one to one function
- xaos
- · Replies 10 ·
Graduate Covariant and Contravariant Tensors
- abrowaqas
- · Replies 2 ·
Undergrad Determining the line intersecting two planes
- doonzy
- · Replies 1 ·
Graduate Difference Between Vector and Tensor
- abrowaqas
- · Replies 5 ·
Undergrad Why Can't We Visualize Points in a 3+ Dimensional Coordinate System?
- abrowaqas
- · Replies 2 ·
Graduate What are the general requirements for defining a coordinate system in R^3?
- mordechai9
- · Replies 1 ·
Graduate Error in Book? Is it the Box Topology?
- Kreizhn
- · Replies 2 ·
Graduate Triangle Inequality Proof Using Euclidean Geometry
- ilaneden
- · Replies 1 ·
Graduate Any closed interval [a,b] is compact ?
- jetplan
- · Replies 13 ·
Graduate Points on two ellipses with identical tangent lines
- ZippyDee
- · Replies 3 ·
Graduate What Are Covariance and Contravariance in Tensors?
- marschmellow
- · Replies 12 ·
Graduate Infine Direct Sum of Vector spaces
- Goldbeetle
- · Replies 11 ·
High School Basic geometry question regarding hexagons.
- Gazarai
- · Replies 2 ·
Graduate Definition of Neighborhood, Very Confusing
- jetplan
- · Replies 2 ·
Graduate Inverse function theorem for surface mappings
- 7thSon
- · Replies 23 ·