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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 Total absolute curvature of a compact surface
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Graduate Augmented reality rotation & zoom
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Graduate (anti)-symmetries of the Riemann curvature tensor
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Graduate Understanding Tangent Map Derivation in S.S. Chern's Ebook
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Graduate What does it mean by a Riemannian metric on a vector bundle?
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Graduate Invariant Polynomials on complexified bundles with connection
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Graduate Principle Fibre: Definition & Examples
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Graduate Theorema Egregium: Does Gauss's Theorem Generalize?
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Graduate Hypersurfaces of Euclidean space
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Graduate Why Does Parallel Transport on a Circle Cause Vector Field Rotation?
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Graduate Lie-algebraic elements as derivations.
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Graduate Eigenvalues of the Frenet formulas and angular velocity
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Graduate What is the Acyclic Carrier Theorem and how can it be applied using chain maps?
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Graduate Quotient Map Theorem: Topology Induced by f
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Graduate Radius of Ellipsoid with Known a,b,c and Phi, Theta
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Graduate Axiom of Abelian Category: AB5 & AB5*
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Graduate Is There a Theorem for Fibration Over R for Non-Compact Manifolds?
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Graduate How to express a circle in spherical coordinates
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Graduate Can 2-Spheres Exist in 2D Slices of 3D Space?
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Graduate Dual vector bundle E* is isomorphic to Hom(E, MXR)
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Graduate How can 3D space expand and contract without a fourth dimension?
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Graduate New Model for Flocking Behavior: S. Motsch & E. Tadmor
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Graduate How Does Gauss Curvature Integral Relate to Holonomy in SO(2) Bundles?
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Graduate Is this Matrix a Tensor, Pseudotensor, or Neither?
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Graduate Finding Convex Hulls in hyperbolic spaces
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Graduate Caustic Curves and Dual Curves: Are They Different?
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Graduate What are the best books to learn topology and representation theory?
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Graduate Riemannian Manifold: Integral Formula Explained
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Graduate Can the integral of W^dV be interpreted as a linking number in projective space?
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Graduate What is the Physical Meaning of Circulation in Vector Fields?
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Graduate How to Find the Length of a Circle on a Unit Sphere?
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Graduate Are Rotations Exponential? Understanding the Concepts Behind Euler Identity
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Graduate Prove Compact Surface: Alg. Topology Help with Polygon Sides Identification
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Graduate Another proof that a vector field on the sphere must have a zero?
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Graduate How to Find the Length of a Circle on the Unit Sphere?
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Graduate Parametrizations and regular curves
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Graduate Definition of the gradient operator
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Graduate Show that there exists no sequence of functions satisfying the following
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Graduate How to make a hodge dual with no metric, only volume form
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Graduate Understanding Knots in Higher Dimensions
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Graduate Solve Geodesic Problem for f:[a,b] to R
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Graduate Confused with closure and interior
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Graduate What is the intuitive explanation for the homology of S^3\knot?
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Graduate Euclidean Killing Field Question
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Graduate Please help. Imposing a metric to preserve distance
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Graduate Convergence in the product and box topology
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Graduate Proving Measure Zero for Set A Derived from Real Numbers Set E
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Graduate Homeomorphism classes of compact 3-manifolds
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Graduate Compactness in Metric Spaces: Is It Possible?
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Graduate Elliptic Trig: Circles, Hyperbolas & Ellipses
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Graduate Lower Limit Topology: Explaining Lemma 13.4 of Munkres' Topology
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Graduate Compactness of Tangent Bundle: Manifold M
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Graduate Relationship between radius of curvature and slope
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Graduate Troubleshooting Lie Brocket Connection Issues
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Graduate Why does removing a submanifold of codim 2 preserve connectivity?
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Graduate How to Compute r in Stereographic Projection from R^4 to R^3?
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Graduate Find Shortest Distance to Point on Ellipsoid
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Graduate Intersection of plane in spherical coordinate system
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Graduate S^5 Sphere: Visualizing and Understanding
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Graduate Complex-valued functions on a compact Hausdorff space.
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Graduate Topology (specifically homotopy) question
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Graduate Coordinate basis vs local frame?
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Graduate Harmonic forms on resolved toric calabi yau spaces
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Graduate Finite Rank Operators: Prove T* Has Finite Rank
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Graduate How accessible is Bott & Tu's book on algebraic topology?
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Graduate Help for proving a mapping is a diffeomorphism
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Graduate Solve that without 4th order polynomial?
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Graduate Perspective sketches from 4D to 3D?
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Graduate Compact n-manifolds as Compactifications of R^n
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Graduate Del operator with coordinate transformations
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Graduate Confusion on the definition of a quotient map
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Graduate How do symplectic manifolds describe kinematics/dynamics ?
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Graduate What is the meaning of C^r-close in topological terms?
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Graduate Theory of calculating sphere centres from surface co-ordinates
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Graduate Is Every Arbitrary Product of Compact Spaces Compact in Any Topology?
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Graduate Rotate a plane through its coefficients
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Graduate Simple Question on Homotopy Equiv. and Contractible Subspaces
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Graduate How to show a mapping is a diffeomorphism
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Graduate Finite intersection of closed sets is not necessarily closed
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Graduate What is the Equation for Finding the Minimum Area of a Non-Euclidean Surface?
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Graduate Levi-Civita proofs for divergence of curls, etc
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Graduate Minimal compactification of an infinite dimensional space
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Graduate Canonical orientation on level set submanifolds?
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Graduate Help on Jacobian Matrix for Cartesian to Spherical
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Graduate How Can Triangulation and Trigonometry Help Revisit a Beloved Camping Spot?
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Graduate How Do Knots in 4-Manifolds Influence Homology Classes?
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Graduate Locally Euclidean and Topological Manifolds
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Graduate Tychonoff theorem and Zorn's lemma
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Graduate Piecewise-linear ball complexes: calculations with GAP
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Graduate Is there a 4D compact smooth manifold with specific properties?
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Graduate Coordinate System: Rotating 2D & 3D Axes & Impact on Directed Cosines
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Graduate Sequences and Nets: Does (1/n) Converge to [0,1]?
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Graduate Homotopy and orientation preserving
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Graduate Mapping Class Group and Path-Component of Id.
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Graduate Some questions relating topology and manifolds
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Graduate Double application of Stokes' theorem to find the area of a simplex
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Graduate What is causing the discrepancy between the Hermite curve and the sine function?
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Graduate How does non-isotopic embeddings affect the homology of manifolds and knots?
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Graduate Constructing Covering Spaces of a Sphere
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Graduate Homology cross product and orientation
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