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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 Let M be a manifold and g a metric over M
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Graduate What is the Unknown Theorem Used in the Proof of Theorem 4.5?
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Graduate Combining 3D Angles: A Quaternions Solution?
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Graduate How Does Compactness Affect Function Behavior in Metric Spaces?
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Graduate Curvilinear & Cartesian Conversions
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Graduate Non-linear forms & tensor densities
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Graduate Is This Special Case of Stokes Theorem True?
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Graduate 4d Cartesian to Polar Transform
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Graduate Understanding Covariant Derivative: d Explained
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Graduate 3D object inverted w.r.t. a sphere
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Graduate Topology and Euler Classes of Oriented 2-Plane Bundles in R^4
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Graduate How Can I Determine Sphere Orientation During Rotation?
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Graduate Simple identity for antisymmetric tensor
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Graduate How to Prove the Cartan Tensor in SM?
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Graduate Problem in Topology: Disjoint Cover of Closed Subsets
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Graduate Is f' continuous when removing elements from X and Y?
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Graduate Intersection of complex sphere and cone
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Graduate Number of Nondegenerate Zeros of Vector Field Bounded
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Graduate Can a Center of a Sphere be conceived at infinity
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Graduate Proving a product of compact spaces is compact
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Graduate Octonians (new paper by Louis Kauffman and Jon Hackett)
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Graduate How to prove that a given set is a torus
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Graduate Smooth covering map and smooth embedding
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Graduate What is the Gaussian Curvature of a Cone at its Vertex?
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Graduate A path connected product of path connected spaces
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Graduate Defining a manifold without reference to the reals
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Graduate Definition of 2D Biquadratic Surface - 65 Characters
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Graduate Is the Euclidean Metric on RxR and C a Valid Metric?
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Graduate Is EndE Linear with Respect to c ^ ∞ (B)?
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Graduate Hamiltonian Flow: Meaning & Definition
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Graduate Proving Pushforward Product Isomorphism: M1 x ... x Mk to M1 + ... + Mk
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Graduate Why Is the Heine-Borel Theorem Unique to ℝ?
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Graduate Smooth manifold and constant map
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Graduate What Are the Key Concepts in Alexei Kovalev's Article on Vector Subspaces?
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Graduate Vector fields in cylindrical and spherical coordinates
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Graduate What is the relationship between topology and convergence in defining open sets?
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Graduate How to Find Conveniently Spaced Unit Vectors in N-Dimensions?
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Graduate Vertical and horizontal subspace
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Graduate Vertical and horizontal subspace of a vector space T_pP.
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Graduate Bundle morphisms and automorphism
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Graduate Probability measure on smooth functions
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Graduate What would a 3D ball look like (in 3D) if it were partially in 4D space?
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Graduate Simple Applications of Noncommutative Geometry?
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Graduate Differences between Algebraic Topology and Algebraic Geometry
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Graduate Understanding the Product Rule in Lie Groups: How Does it Differ from Calculus?
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Graduate What is the concept of Dual Spaces and how do they relate to vector spaces?
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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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Graduate Is the Normal Spherical Image of a Curve Always Non-Constant?
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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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Graduate Can we homotope away a (non-trivial) knot.?
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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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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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Graduate Solve cubic equations using neusis
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Graduate A question about vector space manifold
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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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