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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 Curve Parametrization: Minimum Parameters for Unique Point Specification
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Graduate Question about Stokes' Thm and Boundaries of Surfaces
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Graduate Is a (smooth) manifold allowed to have different dimensions in different points.
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Graduate Geometry of Physics: Study w/o Math Background? - Theodore Frankel
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Graduate Looking for Gauss-Bonnet counterexample
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Graduate Hyperbolic Function with Asymmetric Asymptotes
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Graduate Interpretiing the Dolbeault operators
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Graduate What Geometry Emerges from a Non-Standard Induced Connection?
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Graduate Symplectic Geometry: Learn, Understand & Expert Articles/Books
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Graduate What is the angle between star A, B, and C on the celestial sphere?
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Graduate What Sets Delta-Complexes Apart from Simplicial Complexes?
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Graduate Solving Laplace's Equation with Covariant Derivative
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Graduate How Does Affine Geometry Define the Join of Subspaces?
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Graduate Parabolic Coordinates & Cartesian Coordinates - 1-1 Mapping
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Graduate First fundamental form and squared arc length element
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Graduate Orthonormal basis => vanishing Riemann curvature tensor
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Graduate Question about grad f on the x-y plane
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Graduate How Can Differential Forms Be Used to Compute Areas and Volumes?
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Graduate Minimal Surface: Is X a Minimal Surface?
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Graduate Find a constrained equilateral inner triangle of a triangle
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Graduate How Do You Compute the Pullback of a Differential Form in Flanders' Text?
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Graduate Convexity in the real projective plane?
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Graduate Counter Intuitive result for Surface area of Helical Ribbon
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Graduate Question about curvilinear coordinates
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Graduate Can a Generalized Prismatoid Volume be Solved by Axiomatic Means?
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Graduate Understanding Lie Groups: A Simple Definition
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Graduate Max Non-Adjacent Vertices from Intersection of Hyperplane & n-Cube
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Graduate Classifying Manifolds: Why Celebrated?
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Graduate Contraction of the canonical symplectic form by vertical vectors
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Graduate Hi,i want to understand how fundamental group of a closed oriented
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Graduate Vector Field Derivatives: Why & How?
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Graduate Understanding the Curl Theorem: Examples and Explanation
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Graduate Basis for tangent space and cotangent space
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Graduate Topology of flat spatime -metric?
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Graduate How to Determine if a Point Lies Inside a Tilted and Translated Ellipse?
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Graduate Bachman's line integral versus classical line integral
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Graduate Support Mapping of an Arbitrary Ellipsoid
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Graduate Bachman's Geometric Approach to Differential Forms: Chains & Cells
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Graduate Problems like four-colour theorem
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Graduate Lie Algebra of the reals with addition
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Graduate Visualizing x(u,v): A Solution Requested
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Graduate Some confusion regarding nomenclature
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Graduate Why is the Fundamental Group of Lens Space L(p,q) Z_p?
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Graduate Def. of (mod2) reduction of w in H_2(M,Z)
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Graduate What is the Codifferential and How Can it be Calculated for 1-Forms?
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Graduate Fecko: Differential Geometry 2.3.1
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Graduate How to Calculate the Box Counting Dimension in Chaos Theory?
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Graduate Equations for the Lawson Klein Figure
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Graduate What are the Confusions Surrounding Tensors in General Relativity?
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Graduate Intersection Form of Connected Sum of CP^2
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Graduate Orientability of 1-Dimensional Manifolds: A Closer Look
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Graduate Positive Gauss Curvature Metric: Calculation & Analysis
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Graduate How Are Tensor Indices Ordered in Calculations?
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Graduate Why Use Odd Notation for Tensors in Linear Algebra?
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Graduate Rolling: is the instantaneous axis of rotation tangential?
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Graduate What are Fuzzy Manifolds and Their Role in Deformation?
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Graduate Laplacian on Riemannian manifolds
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Graduate Orientability of the Sphere: A Scientific Exploration
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Graduate What is the Definition of an Affine Hypersurface?
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Graduate Understanding Tensor Products: A Comprehensive Guide
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Graduate Can you describe the metric on the space of positive definite quadratic forms?
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Graduate Finding default unit vectors in 3D modelling
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Graduate Proving Constant Curvature in n-Dimensional Manifold
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Graduate Why Is an Apple Simply Connected but the Number 8 Multiply Connected?
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Graduate What is Euclid's Euclidean space?
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Graduate Determining Homology Groups of S^2 with a Morse Function
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Graduate Basis + covariant derivative question
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Graduate Definition of Normal (Intersection) Without Using a Metric
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Graduate Calculate reconstructionmatrix for ART
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Graduate Proof of Four Vertex Theorem for Convex Figure | Do Carmo
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Graduate Why is this homology group is zero?
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Graduate Product of a finite complex and a point
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Graduate Reduced homology of sphere cross reals?
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Graduate Intersection Form With Coeffs. in Z/2
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Graduate Tangent vectors as linear functionals on F(M)
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Graduate Change in Homology from Change in Coefficients
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Graduate How to Insure a Rectangle Lies Inside a Polyhedron?
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Graduate Calculate ellipse from 4 points?
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Graduate What makes Lie Groups a crucial theory in modern dynamics and beyond?
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Graduate Coordinate tranformations on an embedded surface of in 3 space
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Graduate Cartesian torque to Spherical Coordinates
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Graduate Does Z^n as the First Homology Group Imply R^n with Real Coefficients?
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Graduate Structuring the graph of |x| so it is not a smooth manifold
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Graduate Can a Riemannian Manifold Allow the Existence of a Square Circle?
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Graduate Integration of differential forms
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Graduate Irreducible components of affine Variety
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Graduate Which quantities are naturally forms, and which are (multi)vectors?
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Graduate Spivak's notation re. tangent buldles (Diff. Geom. Vol. 1)
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Graduate Surjection Between Mapping Class Grp. and Symplectic Matrices
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Graduate Discrete quotient group from closed subgroup
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Graduate Theorems every mathematician should know
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Graduate How do we interpret the differential of a function on a smooth manifold?
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Graduate Math Student Struggling with Griffiths Harris Algebraic Geometry
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Graduate Understanding the Gauss Bonnet Theorem for 2D Riemann Surfaces
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Graduate Mathematician Wins Abel Prize for Exotic 7-Dimensional Spheres
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Graduate Natural Metrics on (Special) Unitary groups.
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Graduate Did I Make a Mistake in Computing the Gradient on a Unitary Group?
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Graduate Optimizing Volume of a Rectangle with Newton's Method?
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Graduate What is the relationship between phase space and space-time?
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Graduate Proof that Fin.-Gen. Group G is Fund. Group of 2-Cell Complex
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