Differential Geometry Forum

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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.
How to Prove Incompleteness and Completion in Metric Spaces?
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Tensor question about Hypersurfaces
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De Rham Theorem: Homotopy & Line Integrals Explained
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SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)
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Dyadic Product and Index of Refraction
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How Do Riemannian Connections Work on Non-Flat Manifolds?
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How does a fibre bundle differ from base space X typical fibre?
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S^n not a mapping cylinder. S^n and homeom. subspaces
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Taking the Trace of a Tensor Product
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Transformations involving singular points
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Circles in Non-Euclidean Geometry
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Simple question about definition of tangent bundle
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Sample Topological Spaces: X,t,G,F
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What's the Next Step After Plane Geometry in High School?
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Tensor Product Explained: Best Elementary Tensor Algebra Books
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A problem about integral curves on a manifold
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What Defines a One-Form in Multivariable Calculus and Differential Geometry?
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Connection between Lie-Brackets an Embeddings
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What Are the Best Books to Learn About Fractals?
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What Is the Usual Metric on the Sphere That do Carmo Doesn't Mention?
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Representations of the lorentz group
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The topology of rational numbers: connected sets
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Is K Open or Closed? A Topology GRE Question
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How to Convert Spherical Coordinates to Cartesian Coordinates in an Equation?
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What Is the Equation of a Sphere in Spherical Coordinates?
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How to Rotate a Vector in Different Coordinate Spaces?
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Partitions of unity: support of a function
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Can I study topology without taking multivariable calculus?
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Tensor Indices Switch with Infinitesimals and Space-Time Derivatives
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Why does stereographic projection preserve angles but not area?
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Hello How to prove the min function is continuous?
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Differential geometry in quantum mechanics - conserved quantities
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Help with a special kind of Torus
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How Do Completely Regular Hausdorff Spaces Relate to Compact Hausdorff Spaces?
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Area between two eccentric circles
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Proving \alpha^i = v x^i on tangent vector space T_pM"
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Why is noise always assumed to be Gaussian in noise-based applications?
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Area section of a sphere used for integration?
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Understanding the Degree of a Continuous Map g:Circle --> Circle
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What are the real-world implications of tangent vectors to a manifold?
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Something I read somewhere about Spin manifolds, I don't remember where?
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Elementary questions about fibre bundles
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Space filling curves: two and a half questions
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How can a highschool student study the nonuclidean geometry himself ?
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Projective Space: CP1, Homeomorphism to 2-Sphere?
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Signed angle between two 3D vectors
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How Do Tensor and Wedge Products Relate in Differential Geometry?
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A question of the complete metric space
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Do trapezium angles have to equal 360 degrees?
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Short question about Laplacians
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What Is the Easiest Topology Textbook?
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Why is the cusp not a submanifold?
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Topological transform of singular points?
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Is Differential Geometry a Fun and Essential Subject for Theoretical Physics?
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Ricci-Tensor from Riemann in higher dimensional flat space
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How Do You Perform a 90 Degree Rotation of a Complex Number Around a Point?
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Proving Congruence of Line AE and BD
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Banach Space that is NOT Hilbert
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Another implememntation of van Kampen thoerem.
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Prove Exterior Angle Bisector Property in Triangle ABC & Point D
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Proving C(X) is a Banach Space for Compact Hausdorff X
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Can Trilateration Determine the Angle in a Dynamic Circle Problem?
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Proving Simple Connectedness: Intersection and Union of Two Spaces
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Nontriviality of the Möbius bundle without orientability
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What is the relationship between open and dense sets in R^n?
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Is the product of two open sets open?
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Where did the error occur in calculating the Lie derivative using an example?
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Questions regarding function operations on sets.
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Connected components of a manifold
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Finding Irreducible Basic Fractions with Denominator n
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Action of Clifford-elements on vectors & spinors
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Calculate Smallest Bounding Rectangle Area - Cartesian Coordinates Program
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Solving Hari Prasad Misra's Staircase Problem with Max 2 Steps
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How Do Torsion Concepts Differ in Algebra and Differential Geometry?
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What are the 'closed geodesic' ?
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Get Polygon Side Length From Radius
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What Are Differential Forms and How Do They Apply in Differential Geometry?
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Volume of cylinder with a 45 degree branch
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Working with the inverses of composite functions
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Can every isometry in the plane be composed of at most three reflections?
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An obtuse triangle and its circumcenter
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How Do Basis and Topology Definitions Interact in Set Theory?
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Differential Geometry: Show Regular Curve is Invertible
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Finding new major axis of ellipse after stretching along arbitrary axis
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How Can I Define a Topology on N with Exactly k Limit Points?
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The universal property characterizing the quotient topology
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Comma notation in tensor expression?
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What Kind of Triangle is ABC in a Square with an Isosceles Triangle?
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A small rectangle on a large ball - distortion?
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Need Help Understanding Cycloid Rolling vs Slipping
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Analogy between vectors and covectors
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Do Four Points Define a Hyperplane or Extend Beyond?
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Formal definitions of cutting and pasting etc
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Visualising calabi yau manifolds
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Is the Finite Cartesian Product of Simply Connected Sets Also Simply Connected?
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Can you have a curved line without a plane?
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Understanding Functional Determinants in Mathematics
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How Do You Calculate the Trace of an Arbitrary Tensor?
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Degree of a Map: Directly Proving k is Degree of f
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Integrating a 2-form on a 2-cube
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