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.
Graduate Transformations taking straight lines to straight lines
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Graduate Surface Definition from Pressley's "Elementary Differential Geometry
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Graduate How Does a 2-Form Act on Vector Fields X,Y?
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Graduate How Do Tensors Enhance Problem Solving in Forums?
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Graduate Parallel Translation in R^3 & S^2: Contradiction?
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Graduate Do All Smooth Manifolds Admit a Complete Riemannian Metric?
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Graduate Explore Geometry of Symmetric Spaces & Lie Groups on PF
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Graduate Where to find notes onTensor Analysis or Differential Geometry.
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Graduate Equidistant Points on a Sphere: What is the Series and How to Draw Efficiently?
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Graduate Dual Space Topology: A to B Inclusion Map
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Graduate What is the proof for the distance formula from a point to a plane?
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Graduate Curve of intersection of plane and surface
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Graduate Geodesic Curvature (Curvature of a curve)
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Graduate What is the relationship between Ricci and K in two dimensions?
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Graduate Question and answer on 'not exact' forms
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Graduate Relationship between tensors
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Graduate In which frame does the unit 2-sphere look locally flat?
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Graduate Fundamental Group: Combining Loops
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Graduate Proving the Relation Between Weyl Tensor, Ricci Tensor & Scalar
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Graduate Cartan forms and structure equations
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Graduate Meaning of integrating exterior forms
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Graduate I thought w(f) where w=dual vector f=vector is Reals?
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Graduate Proving Topological Space L is Locally Homeomorphic to R but not Hausdorff
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Graduate Why Must the Projection Function in Fiber Bundles Have a Specific Form?
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Graduate Coordinates in Riemannian Geometry
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Graduate Connected set and regular boundaries
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Graduate Transforming to curved manifolds
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Graduate ICM 2006 Fields Winners: Perelman, Tao, Okounkov, Werner Laudatio Talks
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Graduate What are some tips for finding geodesics on a surface in R^3?
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Graduate Perelman, Poincare Conjecture solved now?
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Graduate Geometrical methods of mathematical physics
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Graduate How Does Discretizing a Smooth Manifold Affect Its Geometric Properties?
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Graduate Proving Homeomorphism is a Diffeomorphism | Riemannian Geometry
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Graduate Complete Solution of Poincare Conjecture
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Graduate Understanding the Formulas for Area of Spherical Triangles
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Graduate Why we have to definte covariant derivative?
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Graduate What is the metric tensor on a spherical surface?
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Graduate What is the metric (distance function) on the 1-sphere and 2-sphere?
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Graduate Derivation Of The Faraday Two-Form
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Graduate Structure constants of Lie algebra
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Graduate Differential geometry lecture notes
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Graduate What is the Correct Metric Tensor for the Unit Sphere?
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Graduate Studying Spivak: Calculus on Manifolds & Diff Geom, Worth It?
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Graduate Lie group, Riemannian metric, and connection
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Graduate Vectors, one-forms and gradients
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Graduate Can basis covectors be defined without a metric?
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Graduate Riemannian volume form without local coordinates
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Graduate Understanding Continuity on Manifolds
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Graduate Is Symmetry Present in the Derivatives of Normal Vectors on Surfaces?
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Graduate Exterior Derivative: A Visual Explanation
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Graduate Where can I find free or affordable resources for learning Reimann Geometry?
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Graduate Contraction of Curvature 2-Form for Calculating Ricci Tensor and Einstein Tensor
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Graduate What is the One Form Needed for Div and Curl in 3-Space?
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Graduate Linearly Independent Killing Fields in n-D Manifold
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Graduate Inverse function of a function of two variables
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Graduate Geodesics in Minkowski Spacetime
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Graduate Is the Special Linear Group a Submanifold of the Space of Matrices?
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Graduate Covariant derivative of the gradient
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Graduate How A Threesphere Would Look or Work?
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Graduate Rank condition in the Implicit Mapping Theorm
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Graduate Schwarzschild Solution using Cartan's Formalism
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Graduate How Do You Determine Basis Vectors for the Tangent Space of a Surface in R^4?
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Graduate Can we pullback and pushforward vector fields and functions on manifolds?
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Graduate Can Lie Algebra Structures Be Extended to Tangent Spaces Near the Identity?
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Graduate Various problems concerning Exterior calculus
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Graduate Why Is the Exterior Derivative Only Defined on Differential Forms in a Manifold?
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Graduate Proving an Identity from Differential Geometry
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Graduate Way to express a general vector field
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Graduate Differential Geometry/Ricci Calculus Question
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Graduate One-form is a linear map from a vector to a real number
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Graduate Why Must We Contract Two Indices to Form the Ricci Tensor?
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Graduate Who discovered the general case of Stokes' Theorem?
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Graduate Explicit or analytic formula for a homeomorphism
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Graduate 4 dimensional spacetime manifold question
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Graduate Differential Forms vs. Directed Measures
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Graduate What Does 'Vanishes Identically' Mean in Mathematical Context?
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Graduate Particle moves in a plane, and i've found that x.n=k
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Graduate Is the Scalar \( R^{ji} R_{ij} - R^2 \) Recognized in Mathematical Physics?
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Graduate What are the Spherical Interior Angles for Regular and Archimedean Solids?
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Graduate What objects, in General Relativity, carry units?
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Graduate Riemannian Manifolds: Metric Structures for Topological Spaces
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Graduate Acceleration Tensor - Rotating Frame
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Graduate What is the result of multiplying a matrix by the divergence of a vector?
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Graduate Can Analytic Continuation Determine the Metric Over a 4-D Manifold?
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Graduate Introduction to Differential Geometry
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Graduate Inverse of the Stereographic Projection
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Graduate How Can Isomorphic Tangent Spaces Help Understand Derivations?
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Graduate Noncoordinate Basis: Explanation and Importance
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Graduate What is the second fundamental form?
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Graduate Questions on Contracting (1,1) Tensors & (2,0) Tensors
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Graduate Worked Problems in Modern Differential Geometry
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Graduate How Does Variation in the Metric Determinant Depend on Its Inverse?
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Graduate Definition of a smooth manifold.
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Graduate Understanding the Connection between Physics Tensors and Algebra Tensoring
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Graduate Qestion: Vector field and (n-1)-form representation of current density
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Graduate Unifying Curvatures with Riemann Tensor
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Graduate Two quick questions on subspaces (intro to tensor calc)
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Graduate Can a Möbius Strip be embedded in R3 with zero Gaussian curvature?
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Graduate The Geometric Heat Equation-WTF?
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Graduate Geometry - Stereographic projection
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