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 Problem with Einstein notation and Levi-Civita symbol
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High School When to use alpha vs theta for angles
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Graduate What are some applications of Lie derivative in physics?
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Graduate Is a (hyper)sphere a (hyper)plane in spherical coordinates?
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Graduate How to Map Points Between the Poincaré Disk and the Cartesian Plane?
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MHB How Do Frenet Equations Relate Torsion to Time Derivatives of Position?
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Graduate Can l'Hopital's Rule Be Generalized for Differentiable Maps Between Manifolds?
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MHB Curvature and torsion on a helix
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Graduate Arc length of a regular parametrized curve
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MHB Fernet-Serrat equations and vector calculus
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Graduate Calculating area with the metric
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Undergrad How to Begin Solving a Basic Open B-Spline Curve with Given Control Points?
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Undergrad Unit vectors in polar co ordinates
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Graduate Intuition behind two manifolds being the same.
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MHB Find the altitude of the triangle with minimum area
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Graduate Integral Notation: Abuse or Necessity?
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Graduate Showing that the Lie derivative of a function is the directional deriv
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Graduate Transformation relations tensors
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Undergrad Links for these concepts please
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Graduate Line of maximum for a 2D 'surface'
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Graduate Inverse Jacobi Matrix in Spherical Coordinates
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Graduate What is the value of δ^{λ}_{μ} in 4 dimensions?
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MHB Surface of Revolution: Find Equation & Identify Surface
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Graduate What is the Hodge dual and how does it work?
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MHB Let L1 be the line through P and Q
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MHB Classification/terminology for shape of a curve
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MHB Find the Largest Sphere That Will Fit Inside a Pyramid
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Graduate Why can't elliptical space exist?
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Graduate Are Isometric Metric Spaces Identical?
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Graduate Calculating the Pullback of a 1-Form on S1 by a Differentiable Map
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MHB How to Calculate the Radius of a Circle Tangent to Two Lines?
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Graduate What is the Issue with Tensor Contraction Notation?
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Graduate First Fundamental Form from tangent vectors
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MHB Find Tangent Lines to Polar Graph: r=2-3sin(θ)
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Graduate Tensor summation and components.
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Graduate Obtaining spherical coordinates by rotations
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Graduate Recursive 3D Tiling of Rhombic Dodecahedra
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Graduate Little Spivak-Winding Number: Integrating Forms over Chains
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Graduate Plausibility of a Discrete Point Manifold
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Graduate S^2 × S^2...×S^2×S^2 is a Direct Product of S^2 - Hypertorus
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Graduate When can we extend the minimal geodesics indefinitely?
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MHB Proving a Statement about a Regular Curve: R of Area k
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Graduate Einstein Notation for Stored Energy Function
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Graduate Riemannian Manifolds: Extending Geodesics Indefinitely
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Graduate How is Stone's Theorem Related to Lie Algebras and Unitary Groups?
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Undergrad How does Lie group help to solve ode's?
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Graduate Are second derivative symmetric in a Riemannian manifold?
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Graduate Why is the trace of jacobian=the divergence?
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Graduate Parameters of helix approximated by parts of torus
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Graduate What is the issue with tensor terminology and variable slot order?
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Undergrad Point of Contact Between Arc and Circle
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Graduate Spivak's Differential Geometry I
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Graduate What exactly is differential geometry?
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Graduate Is There a Difference Between Covariant and Contravariant Tensor Notations?
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Undergrad Converting from cartesian to spherical boundaries
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Graduate General rule product matrices?
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High School Solving an equation: finding the arc length
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Graduate Conditions for using Stokes' Theorem
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Graduate General Doubts on Ehresmann Connections
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Graduate Metric Tensor on a Mobius Strip?
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Graduate Visualising the exterior derivative ?
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Graduate Fiber bundles and the fiber for Electromagnetism.
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Graduate HELP with Killing Vectors in AdS
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Graduate Metric on torus induced by identification of points on plane
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Undergrad Basic understanding of differential geometry
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Graduate Mapping 4D torus onto 4-sphere non-trivially
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Graduate Calculation: Formula for Laplacian/tr(Hess)
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Graduate Symmetry of connection coefficients? (simple question)
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Graduate Transformation matrixes and tensors
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Graduate Analysis of 4D Space-Time Distribution
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Graduate Trying to understand derivatives in terms of differential forms
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Graduate Does an algebraic function always ramify at a multiple root?
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Graduate Question on generalized inner product in tensor analysis
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Graduate Inner product in curvilinear coordinates
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Graduate What is a Knot Vector and How Do You Find Its Value?
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Graduate Is the curl of a field a vector or a vector density?
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Undergrad Cartesian to Polar: Angle Theta Interval Defined
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Graduate Surfaces without an explicit representation.
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Graduate Covariant Versus Contravariant Vectors
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Graduate What is the concept of a line in higher than 3D space?
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Graduate Euler characteristic as a total derivative
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Graduate A general theory for reducing the number of variables?
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Graduate How Can I Fix My Indicial Notation Practice?
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Graduate Principle curvature: min and max curvature are always perpendicular?
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Graduate How should I approach this (coordinate transformation) problem?
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Graduate What Does d/dt g(t) and d/dt D_X Y Mean in Riemannian Manifold Calculations?
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Undergrad Dr/dt = (dr/du)(du/dt) + (dr/dv)(dv/dt)
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Graduate Jacobi identity in local coordinates?
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MHB Most efficient way to identify a circle
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Graduate Parametrizations of the 3-sphere
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Graduate Can Diffeomorphisms be Represented by Matrices and Used in Image Analysis?
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Graduate Help Me Understand Differential Forms on Riemannian Manifolds
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Graduate True Algebraic Nature of Tensors
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Graduate 2-dimensional differentiable surfaces
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Graduate Topological property of the Cantor set
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Graduate Connection forms on manifolds in Euclidean space
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Undergrad Fitting the 'tightest' rectangle to a set of three dimensional points
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MHB Joko123's question at Yahoo Answers (Sketching a cone)
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High School How can a curve be one dimensional?
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Graduate How to show that a locally diffeomorphic mapping from R to R is open?
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