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Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Graduate How Many Critical Points Must a Morse Function Have on a Sphere?
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Graduate Are All Manifolds Triangulable?
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Graduate Global diffeomorphism with tangent bundle
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Graduate Compactness of A: Proving it is a Subset of R
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Graduate Compact Sets: Need help understanding
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Graduate Fiber Bundle Basics: An Overview of Penrose's Twisted Bundles
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Graduate Limit points and exterio points Quick quesiton
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Graduate Where Can I Find Quality Resources for Learning Geometry?
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Undergrad A circle where every chord intersects every other chord?
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Graduate Is the Normal Spherical Image of a Curve Always Non-Constant?
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Undergrad Understanding Kleins Bottle: Explained in Layman's Terms
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Graduate How can the Frenet Frame Equations for Curves in R_3 be correctly interpreted?
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Graduate An interesting problem (closure, limit points)
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Graduate Is the Countable Complement Topology a Valid Topology on the Real Line?
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Graduate How would we express the curvature of the 2-dimensional surface of a
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Graduate Is the Smooth Structure on 2-Manifolds Unique?
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Graduate A classical morse theory question
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Graduate Understanding Compactness in Metric Spaces: Closed, Bounded, and Open Covers
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Graduate Is the Product of Hausdorff Spaces Always Hausdorff?
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What are some insightful quotations about topology?
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Graduate Can we homotope away a (non-trivial) knot.?
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Undergrad Fitting Spheres into Arbitrary Geometry
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Graduate Proving Equivalence of Standard and Basis-Generated Topologies on RxR
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Graduate Why does Chern class belong to INTEGER cohomology class?
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Graduate Rectangle question and closure of the interior?
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Graduate Metrizable Space: Open Sets as Countable Unions of Basis Elts?
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Graduate What Function Types and Inverses Can Exist Between Different Cardinalities?
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Graduate Cl(A) smallest closed set containing A.
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Graduate DeRham Cohomology in Bott and Tu
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Graduate How to understand that RP2 is non-orientable?
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Graduate Is [a,b] ever an open set in the order topology?
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Graduate Is the Magnitude of Descent Directions on Manifolds Meaningful?
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High School What shape would the arcade classic Asteroids' universe be?
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Undergrad A. 2 circles that have the same center have their radiuses
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Undergrad Finding Point Along a Circle with Radius & Arc-Length
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Graduate Covariant derivative vs. Lie derivative
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Graduate Do Sets in Discrete Topological Spaces Have Boundaries?
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Graduate Understanding the Parallel Transport Problem in Riemannian Geometry
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Graduate Are these two shapes topologically same
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Graduate Is a Curved Surface Truly 2 Dimensional if Bent in 3D Space?
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Undergrad Lines and planes (Scalar equation + pt. of int.)
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Graduate Solve cubic equations using neusis
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Graduate A question about vector space manifold
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Undergrad Eulerian Path Analysis: Is My Figure Drawable?
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Graduate Difference between covariant and contravariant levi-civita tensor?
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Graduate How Does Topology Relate to DNA Structure and Function?
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Graduate Visualizing the Topology of CP^1 = S^2
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Graduate Why Can't S² Have a Globally Flat Geometry?
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Graduate Tangent to reparameterized curve
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Graduate Projection of a differentiable manifold onto a plane
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Graduate Simplex splitting using center of gravity
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Graduate Shortest distance from a point to a line
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Graduate Visualising sheaves and presheaves
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Graduate Does a Torus Universe Allow for Isotropic Coordinates?
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Graduate Understanding Tensors and Their Role in General Relativity
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Graduate Is Every Discrete Isotropy Group of an R^n Action Isomorphic to Z/kZ?
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Graduate Covariant and exterior derivatives
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Graduate Time Parameterizations and Diffeomorphisms
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Graduate Euclidean space, euclidean topology and coordinate transformation
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Graduate Is This Mod 2 Cohomology Class on Surfaces Geometrically Significant?
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Graduate Coexistence of Tensor and Geometric Products in Multilinear Algebra
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Graduate Understanding the Hyperbolic Distance Formula: Deriving Log QA.PB/QB.PA
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Graduate Going crazy trying to understand projective CP1 and CPn
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Graduate Connections of degenerate metrics
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Undergrad How Does Rotating an Ellipse's Major Axis Affect Its Equation?
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Graduate Standard Square is not a Smooth Submanifold of R^2
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Graduate Properties of Derivations and of Tangent Vectors
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Graduate What's the fundamental group of a punctured torus?
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Graduate Can Lie Derivatives be Defined Without Dragging on Manifolds?
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Graduate Question concerning compact subtopologies on Hausdorf spaces
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Graduate Points on opposite sides a paper Mobius strip.
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Graduate Calculating Curvature of 3D Hyperboloid - Parameters & Extrinsic Curvature
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Graduate Proving the Accuracy of a Car Toe Alignment Tool: Equations and Models Explained
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Graduate Dimensionality of Non-Euclidean geometry
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Graduate Solving Spherical Rolling Problem - Hossein
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Graduate Topological space satisfying 2nd axiom of countability
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Graduate Curves & Parameters on a Manifold M
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Graduate How does a one form relate to a vector field under a change of coordinates?
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Graduate Help With Raising and Lowering Indices
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Graduate How Is a Point Reflected Across a Plane in Vector Form?
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Graduate Proving the Connectedness and Compactness of a Topological Space
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Undergrad Distance between point and curve
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Graduate Differential forms as antiderivatives?
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Graduate Inverse map of a one to one function
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Graduate Covariant and Contravariant Tensors
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Undergrad Determining the line intersecting two planes
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Graduate Difference Between Vector and Tensor
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Undergrad Why Can't We Visualize Points in a 3+ Dimensional Coordinate System?
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Graduate What are the general requirements for defining a coordinate system in R^3?
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Graduate Error in Book? Is it the Box Topology?
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Graduate Triangle Inequality Proof Using Euclidean Geometry
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Graduate Any closed interval [a,b] is compact ?
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Graduate Points on two ellipses with identical tangent lines
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Graduate What Are Covariance and Contravariance in Tensors?
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Graduate Infine Direct Sum of Vector spaces
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High School Basic geometry question regarding hexagons.
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Graduate Definition of Neighborhood, Very Confusing
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Graduate Inverse function theorem for surface mappings
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Graduate How to find a homotopy between two maps?
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Graduate F=R/2 Derivation for Parabolic Approximation near Vertex
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