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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 Connections of degenerate metrics
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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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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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Graduate Difference Between Vector and Tensor
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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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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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Graduate Relationship betwen homotopy groups?
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Graduate Graphs, embeddings and dimensions
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Graduate Problem With Explanation of Inner Product of Vector and Dyad
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Graduate How to judge whether a space has the fixed-point property?
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Graduate Is it possible to express any planar transformation in terms of rotation?
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Graduate Projection of the co-derivative = co-derivative of the projection ?
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Graduate Why is the partial derivative of a relative scalar field not always zero?
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Graduate Definition of Curl. Can anyone derive the gradient operator?
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Graduate How Do You Convert Complex Tensor Notation to Vector Notation?
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Graduate Extending Trivializations and Structure Groups
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Graduate How Many Continuous and Open Mappings Exist Between Discrete Topological Spaces?
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Graduate How to construct a map from S^2 to RP^2 with covering time being unity?
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Graduate Countable Base and Subcover: A Topological Conundrum?
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Graduate Morse Theory: Understanding Theorem on Page 25
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Graduate Hilbert's theorem and the pseudosphere
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Graduate Is the Graph of a Continuous Function Closed if the Spaces are T2 and T1?
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Graduate Understanding Affine Geometry and Space: Origins, Definitions, and Applications
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Graduate Calculating the Volume Between Three Surfaces: Is My Approach Correct?
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Graduate What is the difference between the two definitions of a neighborhood?
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Graduate Diam A = diam Cl(A) in metric space
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Graduate Example of a differentiable structure on R
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Graduate Finding the Interior and Closure of Sets in a Topological Space
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Graduate Can Lie Algebraic Decomposition Simplify Matrix Exponentials in \mathfrak{U}(N)?
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Graduate Square with edges, cube with faces identified.
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Graduate How to Determine Ellipse Axes from Cone Geometry?
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Graduate SO(3) as a quotient group of SU(2)?
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Graduate Fixed Point Theory: Functional Analysis, Random Operators & Measurable Functions
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Graduate Understanding the Tensor Rank of Pressure in Physics
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Graduate Number of irreducible components of a variety
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Graduate Construction of Reeb Graph for Critical Points on Contours
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Graduate Deriving Solid Angle Formulation from Definition
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Graduate Question about elementary topology
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Graduate Jacobian and the dimension of a variety
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Graduate What Is the Difference Between Ricci-Named Objects in Kahler Geometry?
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Graduate What is the significance of the tautological line bundle in twistor theory?
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Graduate Difference between SO(3) and so(3)
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Graduate What is the elegant proof of this 2006 Math Olympiad question?
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Graduate Smallest Set Containing All n-point Sets
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Graduate Would an energy diffraction ring in five space form a Minkowski space?
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Graduate Vector projection in non-orthogonal coordinates
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Graduate Are Electromagnetic Fields Considered Spinors in Geometric Algebra?
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Graduate Curvature and Tangential angle
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Graduate Why is r/2 used in the proof for one point set being closed?
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Graduate Hausdorff condition in differential manifold definition
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Graduate Criteria for extension to cts fn between metric spaces?
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Graduate Tensor calculus for general relativity
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Graduate Defining the Topology of C^n: Isometry and Bijective Maps
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Graduate Bending of manifold and coordinate change
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Graduate Lie derivative and vector field notion.
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Graduate Complete C[a,b] Function Space - Kreyszig
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Graduate Compact sets in Hausdorff space are closed
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Graduate Proving the Open Sets Theorem for Metric Spaces
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Graduate Tesseract with Time as Fourth Dimension
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Graduate The homotopy group of the projected space DP1
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Graduate How Is the Center of SU(2) Related to the Fundamental Group of SO(3)?
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Graduate Classifying Bundles; Fixed Base and Fiber
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Graduate Why the basis of the tangent space of a manifold is some partials?
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Graduate Coordinate transformations question
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Graduate Question about relationship between metrics
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Graduate How Do Orientations Affect Total Flow into a Tetrahedron?
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Graduate Do Vectors Remain Invariant and What Defines Tensor Rank?
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Graduate Naive question about differential forms
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Graduate Can Two Spaces Be Homeomorphic If No Continuous Surjective Function Exists?
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Graduate Ywhere \phi^X_t is the flow of X.
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Graduate Diagrammatic Tensor Notation from the Beginning
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Graduate Efficient Computation of Complex Polygon Areas?
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Graduate Torsion, affine development and Levi-Civita connection
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Graduate Converting Frenet TNB Coordinates to Cylindrical Coordinates
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