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.
Proving the theorem (Appolonius) for the triangle ABC where..
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How to Prove contracted Bianchi Identity
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Limitations of Tensor Analysis in Physical Laws
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What Are Tensors and Why Should You Care?
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What is the formula for defining curvature on three-dimensional surfaces?
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How Does the Selberg Trace Formula Connect Eigenvalues and Manifold Properties?
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Expressing the Minkowski Field Tensor for Circular Currents
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Slow Roll Parameters: Deriving and Computing
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Curve with ever increasing radius
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Can a stress tensor be curled in physics?
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How Is the Weyl Tensor Derived?
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Higher Order Tensor: Learn Calculation Rules & Get Info
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What are the expressions for CURL in spherical coordinates?
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Building Invariants from Vector, Levi-Civita Symbol
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Understanding the Contravariant Derivative: A Tangential and Normal Perspective
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Bilinear forms and wedge products
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What is the Spacetime Metric and its Describing Equations in Layman's Terms?
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What is the relationship between k-forms and l-forms on an m-manifold?
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Solving Ricci Tensor Problem: Schwarzschild Metric
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Help with paper on gradient descent evolution of surfaces
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Exact sequence & meaning of a corollary?
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Math Newb Wants to know what a Tensor is
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Is a Second Order Symmetric Tensor Always Represented by a Symmetric Matrix?
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What Are Partitions of Unity in Mathematics?
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Poincare Conjecture Explained: Layman's Terms
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How Do Changes in Curvilinear Coordinates Affect Unit Vectors?
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Bonnet Transformation: Explaining the Alpha-Helix to Beta Barrel Transition
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Can Geodesics Be Inflectional in Euclidean Space?
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Vector or Not Vector: Analysis of Magnitude & Direction
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How to get the normal bivector to a surface?
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Please me to understand Einstein notation and permutations
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WHY there is no scalar equation for a line in three dimensions ?
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Proving Stokes Theorem: The Intuition and Application
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From Christoffel symbols to connection 1-forms
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Connection coefficients entering differential operators
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Bivectors/Trivectors: How to imagine?
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Can the Laplacian of a Scalar Field be Considered as its Curvature?
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Riemann-Tensor have in n- dimensional space?
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Is the 'distance function' the same as the 'metric' in physics texts?
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Geodesics and the Action Principle
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Original motivation of differential geometry
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Hypervolume of a Hypercube in Minkowski Space
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Need help with Christoffel symbols? Here are some examples to practice with!
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Killing Vector Fields: Generating Local Transformations?
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Tensor products and tensor algebras
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Recommendations for diff geom. textbook
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Uncovering the Mystery of Covariant Derivatives: Sean Carroll's Perspective
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Differential of lin. transformation between vector spaces
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Understanding RP^n and CP^n: Geometric Projective Spaces
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Simply Connected and Fundamental Group
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Differential geometry recommendations
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Tensor Product: Basis for Higher Order Tensors and Its Proof
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Which Book on Riemannian Geometry Balances Intuition and Minimal Prerequisites?
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The tensor product and its motivation
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What Curve Results from the Centers of Perpendicular Lines to an Ellipse?
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Calculating Metric/Metric Tensor for Curved Spaces
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Gaussian Geometry: Finding Resources Online
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Lie dragging a vector around the ellipse
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Kronecker Delta: A Relativity and Tensor Explanation
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How Can I Prove This Metric is Flat?
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Tensor Product Explained - Examples Included
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How do I calculate the volume of a hypercylindrical shape in n dimensions?
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From Simple Groups to Quantum Field Theory
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Lie vs Covariant Derivative: Intuitive Understanding
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Hello,I am doing a project on Riemann, but. .
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Understanding the Metric Tensor in General Relativity
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Schaum's Outline: Tensor Calculus Intro Basics
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How Can Infinite Subcovers Exist in Compact Spaces Without Contradiction?
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What are the general equations of geodesics on a cylinder's surface?
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Definition of differentiability on a manifold
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Help needed - Equation of a wedge shaped plane
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Can a Surface in R³ Have This Prescribed Riemannian Metric?
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Understanding Tensor Components: The Role of Index Order in Vector Spaces
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Covariant and Contravariant: What Are the Differences in Differential Geometry?
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Linear transition maps on manifolds
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Where Am I Going Wrong with Kahler Metric Computations?
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Proving the Mapping f:S^2\times \mathbb{R} \rightarrow S^2
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What Does \partial_{[\mu}\omega_{\nu]} Mean?
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Covariant and Contravariant Rank-2 Tensors
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Which Textbook Best Teaches Tensor Analysis for General Relativity?
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Lagrange equations with constraints
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Proving Cartan's Identity: Tips & Hints
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Differential Forms & the Star Operator
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Help on Contraction: Proving i_v(\omega_1 \wedge \omega_2)
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Proving Decomposability of Forms in Spivak's Book (Vol. 1, Chap. 7)
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Understanding Tensors for Beginners in Special Relativity
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My Solutions to Tensors and Manifolds
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How Do Complex Eigenvalues Affect Numerical Solutions of PDE Systems?
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Book on tensor symmetry, geometries, surfaces
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How Do Isometries of the n-Torus Relate to R^n?
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Noncoordinate basis vector fields
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Hypersurfaces with vanishing extrinsic curvature
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Who is the author of Differential Forms book?
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Theorem of Curves in higher dimensions
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Levi-civita permutation tensor, and kroneker delta
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Index Transformation: Understanding Notation & Index Rules
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Tangent space, derivation defifinition
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Understanding Index Notation in Tensor Calculus?
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Gradients of Vectors and Dyadic Products
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Proving Wedge Product Property for Alternating Tensors
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