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.
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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Graduate Tensor: Definition, Examples & n,m Meaning
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