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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 Still wondering exp(so(N)) and SO(N)
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Graduate Can the Thickness of a 3D Spiral Curve be Defined Parametrically?
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Graduate Loxodrome Question: Unraveling the Definition
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Graduate Spherical Coordinates Confusion: Which Set is Correct?
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Graduate Rectifying Curve: John Oprea's Differential Geometry Book
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Graduate Deriving spherical unit vectors in terms of cartesian unit vectors
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Graduate Formal Computations of Euler Classes
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Graduate How to draw a 2D space in 3D Euclidean space by metric tensor
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Graduate How to prove Any curve in space can be written as for a parameter
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Graduate Mapping 3D point to cone surface using perpendicular line
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Graduate Multiplicity free fibers in maps between vector bundles
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Graduate Can Curvature Be Integrated Over Space in General Relativity?
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Graduate Puzzled with the loxodrome ( spherical spiral ) equation
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Graduate Riemannian Geometry exponential map and distance
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Graduate What is the Geometric Interpretation of Principal Bundles with Lie Group Fibres?
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Graduate How to define covariant basis in curved space 'intrinsicly'?
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Graduate Are Euler-Lagrange Equations Applicable to All Differential Manifolds?
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Graduate Understanding Euler Classes in Smooth Manifolds
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Graduate Is Every Diff. Form on a Submanifold the Restriction of a Form in R^n?
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Graduate What Are the Key Questions About Isometry in Manifolds?
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Graduate Elliptic geometry in 3 dimensions
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Graduate Stuggling with the abstraction of manifolds
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Graduate Connection on a principal bundle Intuition
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Graduate What is the Tangent Space to the Unitary Group?
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Graduate When is a foliated manifold a fibre bundle?
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Graduate What is the parametrization of the graph of ln(x)?
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Graduate Why is there maximally 1/2 n(n+1) killing vectors?
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Graduate Riemannian curvature of maximally symmetric spaces
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Graduate Real Vector Space: Is Addition & Scalar Multiplication Smooth?
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Graduate Push Forward on a Product Manifold.
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Graduate Factor 1/2 in the Curvature Two-form of a Connection Principal Bundle
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Graduate Extended plane as a topological sphere
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Graduate Contact Vector Fields. "Flow Preserves Contact Structure?
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Graduate Can a k-Form Be Integrated Over Lower Dimensional Manifolds?
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Graduate Why Is Cech Cohomology More Common Than Cech Homology?
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Graduate Different types of differential geometry?
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Graduate Why only Closed Forms Matter in DeRham Cohomology?
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Graduate How does metric give complete information about its space?
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Graduate Maurer-Cartan form involved in Lie bracket
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Graduate Difference between mixed tensor notation
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Graduate Can I use generalized Stokes' theorem in Faraday's law?
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Graduate Antisymmetric gradient matrix?
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Graduate The ant and honey problem on a spherical bowl - shortest paths?
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Graduate Curvature 1-forms in NP formalism
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Graduate What is the Definition of the Shape Operator and How is it Calculated?
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Graduate Trivial Isometry Group for the Reals
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Graduate Intersection between rotated & translated ellipse and line
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Graduate How can I calculate a rotation using geometric algebra?
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Graduate Does this spherical triangle exist?
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Graduate Coordinate free Christoffel symbols
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Graduate Lie bracket of derivations in space of r-forms
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Graduate Can Vectors Only Associate Pseudo-Forms in Non-Cartesian Coordinates?
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Graduate Area of a Sphere: Intuitive Problem Solved
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Graduate What is the difference b/w analytic, algebraic, differential geometry?
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Graduate Intersection between hyperplane within a simplex
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Graduate Geometric Product: Definition and Calculation
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Graduate Introducing K3 Manifold/Surface for Physicists
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Graduate Confusion with Dot Product in Polar Coordinates with the Metric Tensor
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Graduate Lie derivative of contraction and of differential form
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Graduate 2-Plane Distribution in Cylindrical Coords.
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Graduate Are Lie Groups with Identical Lie Algebras Always Homomorphic?
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Graduate Find radial imprint on rotating disk
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Graduate How Does the Kronecker Delta Lead to the Identity of Jacobians?
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Graduate Average of Multiple Stress Tensors
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Graduate Second derivative of a unit vector from The Feynman Lectures
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Graduate Fields Medal 2014 to Maryam Mirzakhani
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Graduate Solve Hodge Star Operator Problem Step-by-Step
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Graduate What is a Manifold? Curvature Explained in 3D Space
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Graduate What is the generalization of the tensor product definition for a three form?
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Graduate Surface area of a Hypersphere?
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Graduate Earth Geodesics - Rhumb Line vs Great Circle
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Graduate Is the inner product of two rank n tensors a scalar?
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Graduate Proof? Kronecker delta is the only isotropic second rank tensor
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Graduate Path connected subgroups of SO(3),
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Graduate Does the Lie Bracket Always Close the Parallelogram as Described?
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Graduate How can the interior product be visualized using a concrete example?
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Graduate Can Curvature Only Be Formed by Removing Sections of Flat Space?
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Graduate Levi civita symbol and kronecker delta identities in 4 dimensions
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Graduate Can Principal Bundles Help with Lie Group Decomposition?
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Graduate The Geometry of Non-Euclidean Complex Planes
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Graduate Which Computational Software Is Best for Tensorial Hermite Polynomials?
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Graduate Understanding 3D Rotations & Linear Relationships in Physics
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Graduate Radius of Curvature: Formula & Name
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Graduate Computing geodesic distances from structural data
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Graduate Differential Form on Product Manifold
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Graduate What kind of isometry? A metric tensor "respects" the foliation?
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Graduate Foliation with isometric leaves.
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Graduate Where is the uniqueness of smooth structure for involutive distributions proved?
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Graduate Understanding F = ∇·F: The Relationship Between Scalar and Vector Fields
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Graduate Angle between two orthogonal coordinate systems
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Graduate Geodesic Radius of Curvature Calculation Method
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Graduate Curl in 5D using levi-civita tensor
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Graduate Maps of Ringed Spaces: Definition & Equivalence
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Graduate Indefinite Integrals of Scalar and Vector Fields: A Path Independence Dilemma?
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Graduate Circle in the Complex Domain where Mean is not the Centre
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Graduate Understanding Scalar Fields: Tools for Studying Vector Field Behavior
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Graduate Products of Locally Ringed Spaces
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Graduate Area and volume integral of vector field
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Graduate Vorticity and Flux of Vector Field ##\vec{f}## Explained
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Graduate Question about Finsler geometry
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