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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 Homeomorphism (defining a chart)
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Graduate How Did Dr. Grigoriy Perelman Solve the Poincaré Conjecture?
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Graduate Understanding Vector Fields on the Sphere S^2: A Student's Guide
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Graduate What is the Stone-Cech compactification of a product of Boolean algebras?
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Graduate What Is a Nontrivial Ultranet and Why Is the Axiom of Choice Needed?
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Graduate Does a faithful action of SO(3) imply a metric on R^3?
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Graduate How many different topologies can X have?
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Graduate Functional analysis and diff. forms
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Graduate Gradient and differential notation
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Graduate Linear Maps and Fixed Points in RPn
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Graduate Is the Fundamental Group of X1 Trivial or Isomorphic to Z?
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Graduate Why Does the Contraction Term Vanish in the Divergence Theorem on Manifolds?
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Graduate Verifying Lie Bracket for Vector Fields on U
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Graduate Can a sphere have flat geometry?
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Graduate Proving Lines Contain Exactly n Points in an Affine Plane of Order n
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Graduate Why Do Subscripts and Superscripts Vary in Einstein Summation Notation?
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Graduate Does trivial cotangent bundle implies trivial tangent bundle?
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Graduate Do I need ODE and PDE for differential topology?
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Graduate Combinatorial Problem: Does Sum = Binomial Coefficient?
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Graduate F must be a Diffeomorphism: Why & What if?
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Graduate Interpretation of the covariant derivative
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Graduate Proving Stirling's Formula - Get Help Here
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Graduate Why do you need a convex/concave function to do a Legendre transform?
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Graduate Hereditarily normal, mutually separated subsets
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Graduate Continuous functions in metric spaces
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Graduate Trying to understand Levi-Civita Symbol and notation
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Graduate Proving Closed Sets using the Sequential Criterion
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Graduate Why is the boundary of the rationals (Q) equal to R?
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Graduate Poincare Conjecture: Understanding & Appreciating the Proof
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Graduate Deformation Retract: X to Y | Proving Homotopic Equivalence
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Graduate Different metrics same topology?
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Graduate Can Basis Ambiguity be Preserved for Entangled Particles?
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Graduate How Do You Determine the Fundamental Groups of Specific Matrix Spaces?
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Graduate Explaining Connected Component: Real Numbers, Rationals, & More
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Graduate Is the Maximum Metric Valid for Product Topology on Combined Metric Spaces?
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Graduate Equivalence relations and equivalence classes
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Graduate Nowhere dense subset of a metric space
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Graduate Tensor derivative in continuum mechanics
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Graduate Can Non-Riemannian Geometry Exist Without a Metric?
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Graduate Is There a Difference Between a Vector Field and a Vector Function?
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Graduate Identification Space: Is A Cone?
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Graduate How Can a Vertex Represent a 0-Cell and an Edge Represent a 1-Cell in Topology?
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Graduate What Sets Exhibit the Wada Property in R2, R3, and R?
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Graduate Geometric interpretation of a given Alexandrov compactification
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Graduate Defining Inside and Outside of Loops on a Closed Surface
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Graduate A differential geometry question.
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Graduate Is the Geodesic Always the Shortest Path Between Two Points?
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Graduate Tensor of Type (k,l): John Lee, Wald's GR
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Graduate Tensor Applications: Find Unusual Ideas for Research
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Graduate Determining 4-vector character of a 4-tuple
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Graduate Geometric realization of topology
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Graduate Intersection of simply connected
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Graduate Expression with levi-civita symbol
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Graduate Distinction between this geometric example of a Diffeomorphism & a Homeomorphism
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Graduate How to Write (a_1+...+a_n)(b_1+...+b_n) in Einstein Notation?
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Graduate P-adic metric Strong triangle inequality
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Graduate R^2 - A, with A being a countable set, path-connected?
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Graduate Simple Topology problem (Munkres)
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Graduate Geodesic Tangent Vector: Affine Parameter Wald (p.41)
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Graduate How to represent a parametric curve?
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Graduate Integrating Metric Tensors: Conditions for Obtaining a Global Metric Function
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Graduate Can a Lie Derivative be Taken in the Direction of a Scalar Function?
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Graduate How is the Length of a Parallel Curve Calculated in Differential Geometry?
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Graduate Geodesic implies the well-known identity 0=0
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Graduate Linking of Curves: C1, C2 in R^3, D1, D2, Finite Loops
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Graduate Gauss Mapping of Surfaces in R^n: Intrinsic or Not?
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Graduate Understanding Scalar Curvature: Key Differences and Properties
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Graduate Relation between all 10 distance of 5 points
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Graduate Parametrization vs. coordinate system
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Graduate Showing that some curve is a circle
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Graduate Polar coordinates: derivation from rotation group
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Graduate Christoffel simbol and derivative from him
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Graduate Differential geometry - strange formula
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Graduate How Can You Create Your Own Mathematical Space and Explore Embedding Techniques?
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Graduate Linked Homotopy Theory: Preserving Linking Number Zero
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Graduate Are S^1 x S^2 & Familiar Topological Spaces Related?
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Graduate Curvature tensor of sphere radius R
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Graduate Finding Fundamental Group: Step-by-Step Guide
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Graduate Question on page 7 Flander's book on differential forms
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Graduate Topology Math GRE Prep | Best Book Intro Guide
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Graduate A differential geometry question
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Graduate Is the trace of a linear operator independent of orthonormal basis?
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Graduate Deriving the Witch of Agnesi Curve
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Graduate Are Originless Coordinates Possible for Spherical Surfaces and Planes?
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Graduate Need a bit more information about second-order tensors
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Graduate Gradient Tensor of a vector field
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Graduate Which Book on Fiber Bundles is Best for Beginners with an Intuitive Approach?
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Graduate Understanding Open and Closed Sets in Topology
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Graduate What's the questions asking me to show?
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Graduate Any good problem book on General Topology
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Graduate Connected vs. Path Connected Sets
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Graduate Closed/Open Transition Function Question
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Graduate Projection of area onto a plane
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Graduate Solving Isometries Proofs: Geometry Revisions & Help
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Graduate Fields and their relation to Tensors
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Graduate Covariant Derivative: Definition & Meaning
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Graduate Can Singular Points Be Smoothly Transformed to Achieve Differentiability?
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Graduate Is there a continuous path in function space from f to g?
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Graduate Möbius transformations and SO(3)
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Graduate Can the Ricci Tensor's Trace be Applied to Tensors?
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