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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 Can an angle be considered to be a vector?
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Graduate What mathematics did Perelman use to prove Poicare's conjecture? Do
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Graduate An ambiguity in the definition of tensors
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Graduate Why there cannot be a single chart for n-sphere?
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Graduate Distance from a point on an ellipse to the axis
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Graduate Differential manifold without connection: Is it possible?
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Graduate Why Can Some Line Bundles Have Nonzero Sections While Others Cannot?
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Graduate Determining Lat, Long using trigonometry
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Graduate Importance of Lie algebra in differential geometry
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Graduate Proving the Symplectic Positive Definite Matrix Theorem
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Graduate From the two geometries of a Toroid and a Mobius ring: Torbus
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Graduate Can one define a function that sends lets say a line in r2 to a volume in r3?
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Graduate What is the concept of a natural coordinate in manifold geometry?
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Graduate Riemann & Ricci Curvature Tensors: No Coord. Indices?
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Graduate Effective angular diameter of the sun for this experiment
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Graduate Explore the Two-Torus T²: A Visual Guide and Explanation
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Graduate What is a scalar (under rotation) 1-chain ?
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Graduate Vector Valued Forms: Rank (n,p) Tensors
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Graduate Rotating vectors on a unit sphere
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Graduate Parallel Transport: Does Quadrilateral Close Without Torsion?
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Graduate Is \(\nabla \times (\phi \nabla \phi) = 0\) for a Differentiable Scalar Field?
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Graduate Ostensible Contradiction b/w Continuity & Cartan's Magic Formula
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Graduate Trace - Integration - Average - Tensor Calculus
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Graduate Relations Involving the Directional Cosines
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Graduate Maths Video：Visible Fibre Bundle
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Graduate Physics Quantity Corresponding to Christoffel
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Graduate How Can You Prove an Atlas Is Maximal?
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Graduate Good treatment of Affine Geometry?
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Graduate How to find fractal dimension of Gosper Island
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Graduate RElation of partial differential operator and Basis vector
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Graduate Computing the Modular Group of the Torus
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Graduate Continuity of real portion of cosine variant of 3d fractals
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Graduate Topology of the diffeomorphism group
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Graduate Intuition for Parallel Transport
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Graduate Homeomorphism between R and {0}xR
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Graduate Circumference of a circle in Poincare Half Plane
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Graduate Understanding the Fibre Bundle Structure of Mobius Band
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Graduate DG - Clifford Algebra / Differential Forms
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Graduate Cohomology of Z^+ and Infinite Dimensional de Rham Cohomology
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Graduate Squaring the Square -> Cubing the Rectangular Prism
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Graduate How to Prove the Riemann Curvature Tensor Equation?
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Graduate Homology of formally infinite chains
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Graduate Why do manifolds require a Riemannian metric?
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Graduate Coordinate based vs non-coordinate based differential geometry
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Graduate Mean Curvature at Extremum Points on a Closed Surface
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Graduate Different approches to Geometry
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Graduate Topological dimension of the image of a smooth curve in a manifold
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Graduate Euclidean geometry and complex plane
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Graduate Cayley-Klein Geometries and physics
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Graduate Are My Intuitions on Covariance and Contravariance Correct?
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Graduate Can a 4-D Hypercube be projected onto 3-space?
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Graduate Question for geometers: How to describe this problems of this kind?
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Graduate How to simulate a random walk on a sphere
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Graduate Drive a complex field, get something like torsion?
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Graduate Spherical Pythagorean theorem - finding length of longer side
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Graduate Why does f(f^-1(E)) $\subset$ E?
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Graduate Basic diff. geometry question - Gradient of F
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Graduate Simple Geometry Question about a Complex Situation -Spherical/3D cartesian
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Graduate Understanding Differential Manifolds and Local Topologies in n-Dimensions
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Graduate What are the contents of the Differential Geometry Library?
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Graduate Antisymmetric connection (Torsion Tensor)
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Graduate What's algebraic geometry good for?
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Graduate Understanding the Inverse of a Fiber Bundle Projection Map
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Graduate Need help understanding the pushforward
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Graduate A geometric property of a map from points to sets?
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Graduate Optimisation along a curve on a surface
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Graduate Is R mod 2pi a Compact Manifold?
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Graduate Finding surface area of cone in spherical coordinates
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Graduate What Is the Relationship Between the Lie-Algebra of SO(3,1) and SU(2)?
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Graduate Cohomology with compact support
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Graduate Very elementary differential geometry questions
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Graduate Why Does a=dB Imply ∫a=0 on Compact Manifolds?
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Graduate View Tensors as Multi-Variable Functions?
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Graduate Question regarding Einstein's summation convention
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Graduate Hi all,Let λ>0 and define an equivalence relation on
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Graduate Surfaces with Same Gaussian Curvature: Hedi's Ques.
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Graduate Commutation property of covariant derivative
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Graduate Mobius strips and similar manifolds
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Graduate Projection of a point onto a line in 3-space.
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Graduate A Conceptual Question on de Rham cohomology.
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Graduate Book on Curvature wrong or am I confused
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Graduate Non-embedded Manifolds: How do they happen
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Graduate Spot the error (circumference of ellipse)
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Graduate Principal bundles with connections
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Graduate How is the Ricci Tensor Derived from the Ricci 1-Form?
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Graduate Proving Theorem 51.3 in Munkres 2e Edition on Homotopy Paths
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Graduate Is the (n-1)th de Rham Cohomology of U\{x} Non-Zero?
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Graduate Where can I find a list of Christoffel symbols for calculation?
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Graduate Curvature as the source of a field on a two dimensional Riemannian manifold
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Graduate Real Analysis: Subscripted Index & Countable Order
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Graduate Is this quantity a tensor and why?
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Graduate Finding the a vector using angles
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Graduate Determining Riemann surface geometry of algebraic functions
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Graduate Duality/Equivalence Between V.Fields and Forms (Sorry for Previous)
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Graduate Finding Fractal Behavior - Methods & Statistical Analysis
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Graduate Is the Levi-Civita connection unique for a given manifold?
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Graduate Curvilinear coordinates from orbits
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Graduate Curl vs exterior derivative in spherical coords
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Graduate Torus and sphere with positive or negative curvature
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Graduate Sets intersection and the axiom of choice?
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