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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 Intuition check-tiling a 3-sphere with 16 tetrahedra
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Graduate Proving no simplex has 2-fold symmetry
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Undergrad Proof without words: Geometric series
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Graduate Geodesic Equation - Physics Explained
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Graduate What is a Conifold and How is it Related to Orbifold Singularities?
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Graduate Covariant exterior derivative vs regular exterior derivative
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Undergrad Ductwork surface area calculation problem
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Graduate Define a function z = f(x,y) by f(0,0) = 0 and otherwise?
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Graduate Does the Mystery Manifold theorem exist?
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Graduate Is π(L) a Submanifold of the Torus?
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Graduate Trying to prove dual of there are at least tree points on every line
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Undergrad Translation using rotation matrix
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High School Plan Sprinkler System Layout: Minimize # Circles for Max Coverage
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Graduate How to compute the exponential map
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Graduate Anti-Symmetric Tensor: Solving for 'a' in W[ijWk]l=aW[ijWkl]
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Graduate Proving the Jacobi identity from invariance
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Undergrad Is a 1 degree rotation of a point possible?
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Graduate Riemannian Submersions: Understanding the Definitions and Well-Definedness
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Graduate Intuitive explanation of parallel transport and geodesics
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Undergrad Tetris-like combinatorial problem
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Graduate Perpendicular vector in 6th dimensional space
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Graduate Simple quesion about metric on extended real line
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Graduate Function that transforms (half) plane to annulus
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High School Whats difference between inner product and dot product?
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Graduate How to construct the two sheet cover of Klein Bottle?
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Graduate Dense orbits of irrational n-tuples in n-Torus
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Graduate Monomorphism cancellation property
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Undergrad Question about area on a sphere
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Graduate What is the Tensor Analog of the Poincare Lemma?
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Graduate Smooth Homotopy: Problem with Definition?
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Undergrad Interesting problem I thought of
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Graduate Invariant vectors/eigenvectors of R(., v)v
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Graduate Quick question about interpretation of contravariant and covariant components
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Graduate Regular Point Theorem of Manifolds with Boundaries
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Graduate Vector field curvature in the complex plane
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Graduate Symmetric vector to tensor representation?
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Graduate How Einstein field equation becomes the Poisson equation?
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Graduate The relation between two terminology cusp (group & algebraic curve)
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Graduate How to determine whether the preimage of a point is a imbedding submanifold?
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Undergrad What's it called when a 3D shape can be made of 2D surfaces of all the same size
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Graduate Two approaches to lie algebras
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Graduate Isometric diffeomorphism on HPn/S^4n+3
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Graduate Covectors not identical with 1-forms?
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Undergrad Decompose rotations of a vector
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Graduate How does the covariant exterior derivative generalize to vector bundles?
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Graduate What is the Definition of a Manifold and How Does it Relate to Topology?
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Undergrad How many tangents can be drawn from a point to hyperbola?
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Undergrad Inverse Maps: What Makes a Map Reversible?
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Graduate Lie Groups and Canonical Coordinates
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Graduate Vertical subspace in HPn (Riemannian submersions)
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Graduate Velocity Vector has Coordinate-Independent Meaning
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Graduate Metric: A Property of Manifolds or Coordinate Systems?
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Undergrad Property of the plane, need clarification
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Graduate Meaning of totally antisymmetric tensor
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Graduate On the properties of Homogeneous Spaces
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Graduate Residues and the fundamental group
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Graduate How many ways to compute Puiseux series?
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Graduate Is the bracket of graded derivations a natural graded derivation?
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Graduate Prove Finite Orthogonal Set is Linearly Independent
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Graduate Proving Every Line is Contained by Two Planes: Using Incidence Axioms
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Graduate Is the interior of an angle a convex set?
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Graduate Does the presence of torsion require a non-symmetric metric?
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Undergrad Number of vertices of an n-gon as n tends to infinity?
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Graduate Connection coefficients as derivatives of parallel propagator
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Graduate Circle becomes a pair of parallel lines
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Graduate Limit of critical points of algebraic functions
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Graduate Equivalence classes and Induced metric
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Undergrad Determine the length of the curve sin(x)
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Graduate How Can Railroads Implement Design Alignment with Tangential Track Movements?
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Graduate What Are Frame Bundles on Manifolds and Why Are They Important?
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Graduate Understanding the Product Property of Maslov Index: A Proof Using Homotopy Axiom
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Graduate Is Symmetry Limited in Geometry?
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Undergrad Find the length of this line associated with a circle
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Graduate Show me a book about hyper-sphere (n-sphere)
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Graduate Uniformity of Space: Definition & Examples
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Why Should You Share Your Own Solution Online After Solving a Problem?
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Graduate Interpretation of projective space
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Graduate Show that a bilinear form is an inner product
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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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Undergrad Infinite set of points on a line.
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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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MHB Should I study metric spaces topology before general topology?
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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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Undergrad Help Re-Designing A Curve Using X Y Z Co-ordinates
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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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Undergrad Rotation in 3 dimensions about a point
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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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