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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 What Are the Functions and Applications of the Lie Derivative?
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Graduate Coordinate independence of Lie derivative
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Graduate Show that every map(maybe continuous)
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Graduate What would this open set in R look like?
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Graduate How to Prove Inequality for Equivalent Distances?
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Graduate What Are the Properties of Norms Satisfying the Reverse Triangle Inequality?
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Graduate A paradox about Maupertuis' principle (symplectic viewpoint)
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Graduate Proving Hopf Invariant and Degree of g for f⋅g
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Graduate Is classical differential geometry still useful?
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Graduate Question about smoothness of a vector field (Reeb).
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Graduate Definition of a homeomorphism between topological spaces
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Graduate Intersection of Connected Sets: True or False?
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Graduate I have some trouble with the fourth spatial dimension
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Graduate Differential Geometry: Coordinate Patches
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Graduate Relationship between Diffeomorphism and Jacobian
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Graduate Area of circle using incribed polygons
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Graduate Laplacian of 2-Form in R^3: Reference & Calculation
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Graduate Closure of a one-parameter subgroup
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Graduate Conformally Flat and Einstein Geometry
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Graduate Equivalence Relations on [0,1]x[0,1] and Hausdorff Spaces
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Graduate Lie derivative versus covariant derivative
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Graduate Ans: Is [-4.4] & (-3,3) open/closed in (ℝ,τ)? Justify your answer
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Graduate Differentiable structures and diffeomorphisms
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Graduate K-connectedness and the homotopy-lifting property
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Graduate How to prove these with Integral Theorems
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Graduate Le: Tensor of Cochain Complexes, Isomorphism of Complexes
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Graduate Is the Continuum Hypothesis Valid if the Interval is Wrapped into a Semi-Circle?
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Graduate Definition of boundary point and equation
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Graduate Continuous bijection that is not an embedding
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Graduate Exterior Derivative Explained: Motivation & Calculation
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Graduate Why Does an Isometry Preserve Lie Brackets Between Vector Fields?
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Graduate Proving the Inverse Function Theorem: A Struggle
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Graduate Differential Geom.: Dual Space Bases for Beginners
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Graduate Residue calculus and gauss bonnet surfaces
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Graduate What Is a Quotient Bundle?
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Graduate Why Is This Iterated Integral Expression a Homotopy Invariant?
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Graduate Uniform continuity in top. spaces
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Graduate Request: Solved Problems in R.Geometry; Connections, etc.
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Graduate Lie algebra of the diffeomorphism group of a manifold.
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Graduate Compute Euler Characteristic from Z Homology Dimensions
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Graduate Tangent map, gauss map, and shape operator
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Graduate Are functionals united with the vector space which they operate on?
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Graduate Is Parallel Transport Invariance Maintained in General Relativity Calculations?
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Graduate No difference between covectors and functions?
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Graduate Exterior Derivative: Proving d^2 = 0 and d(w1 wedge w2) Properties
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Graduate Global Section of Fiber Bundles with Contractible Fiber
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Graduate Fundamental group to second homology group
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Graduate Proof of Real Projective Plane Embedding in R4
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Graduate What is the connection between topology and convergence in probability?
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Graduate Intro to elementary index notation
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Graduate Neumann boundary conditions on S^1/Z_2
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Graduate What is the concept of exact forms on a 2 torus and how can it be visualized?
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Graduate Math of Transfinite Donuts in 3-D Space
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Graduate What's the difference between differential topology and algebraic topology?
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Graduate Quotient Spaces/Homeomorphic spaces?
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Graduate Understanding Exterior Products of Multiple Vectors
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Graduate Can a Symmetric Tensor on a Manifold of Signature -+++ be Written in p-forms?
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Graduate Help me learn the GR cartan formalism
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Graduate Learn Conical Coordinates with Mathworld
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Graduate Fundamental group with n holes
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Graduate Proof of Homeomorphism: An Example
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Graduate Why Use 'Singular' to Describe Singular Simplex?
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Graduate Fundamental Group of (X,p): D^2\{(x,0) : 0<=x<=1}
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Graduate What is the significance of Pi1(X,x) in understanding the fundamental group?
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Graduate Apparent Contradiction: Every Map from a Contractible Space to any X is trivi
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Graduate Finite Complement Topology: Why It's the Finest
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Graduate What is the boundary of a surface?
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Graduate What Does the Homology Group Tell Us About a Manifold?
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Graduate Generic Intersection of non-planar Surfaces in R^4
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Graduate What is the role of the transpose matrix in tensor transformations?
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Graduate Homology of CP^1, complex projective 1-space
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Graduate Relation between Frenet-Serret torsion and the torsion tensor?
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Graduate Levi-civita connection assumptions
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Graduate Identifying tiles in hyperbolic space?
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Graduate For M a 4-mfld., every class in H_2(M;Z) can be represented by a Surface.
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Graduate Shortest arc between two points in polar coordinates
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Graduate Geometric description of (simplicial)homologous cycles
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Graduate Orientability of Complex Manifolds.
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Graduate What is the difference between a manifold and a metric space?
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Graduate An intuitive explanation to the Killing equation?
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Graduate Connected Spaces: Disjoint Unions & Inf Sets
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Graduate Need assistance,can you imagine a continuously deformation between X and Y?
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Graduate How to make curved line into torus?
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Graduate Represntative Surfaces/Curves in homology. Examples.?
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Graduate Easy-to-Follow Proofs for Symplectic Manifolds: A Comprehensive Resource
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Graduate Understanding Contractible Spaces: Path Connected vs Simply Connected
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Graduate Understanding the Square Root Loop and Its Construction on S^1 and RP^1
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Graduate Sphere as an embedded submanifold
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Graduate Is it possible to prove that any metric topology is Hausdorff?
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Graduate Curl of the transpose of a gradient of a vector: demonstration of an identity
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Graduate Understanding Lie Derivatives: Acting on Vectors & Tensors
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Graduate Contraction map of geometric mean
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Graduate Number of independent subcubes of a hypercube
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Graduate Translation in Spherical Coordinates
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Graduate Can a Metric be Defined to Make All Balls in R^2 Unbounded with Shrinking Radii?
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Graduate Mobius Band as Bundle Over S^1: Trivialization Containing (1,0) in S^1
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Graduate Metric coressponding to a set of curves?
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Graduate What are the prerequisites for understanding The Ricci Flow?
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Graduate Phase flow is the one-parameter group of transformations
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Graduate Brouwer's Fixed Point Theorem for Arbitrary Intervals
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