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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 What is the issue with tensor terminology and variable slot order?
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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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Graduate General rule product matrices?
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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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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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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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Graduate Jacobi identity in local coordinates?
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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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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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Graduate Transformation of Vectors Confusion
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Graduate Divergence of tensor times vector
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Graduate Do Manifolds have distance relations between points?
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Graduate Can unquantized fields be considered smooth curved abstract manifolds?
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Graduate What is the area of intersection between two adjacent spherical caps?
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Graduate Where can I find information on S^3?
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Graduate Question about Christoffel symbol's value
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Graduate Orthonormal basis vectors for polar coordinate system
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Graduate Divergence of product of tensor and vector
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Graduate Is the Spin Connection Problem Affecting My Derivation of the Dirac Equation?
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Graduate Silly question about the Theorema Egregium
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Graduate No metric on S^2 having curvature bounded above or below by 0
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Graduate Contracting Tensors: Multiply by g^αρgασ?
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Graduate Vectors in curvilinear coordinate systems
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Graduate What Is the Maximum Value of x for Points on a Plane and Sphere in 3D Geometry?
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Graduate Can the Relationship Between Levi-Civita Tensor and Kronecker Symbol Be Proven?
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Graduate How Do You Calculate g(W,W) Using the Given Metric?
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Graduate What Does Locally Euclidean Mean in the Context of Manifolds?
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Graduate Can a 4-Sphere Have a Circumference?
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Graduate How can a cubic Bezier curve be constructed to have a tangent to a circle?
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Graduate Continuity of the Bezier Curve, Question
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Graduate What Defines the Components of a 2-form?
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Graduate Can You Recall the Formula for Finding the Area of a Spherical Patch?
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Graduate Why Must the Image of U Be Open in \(\mathbf{R}^n\)?
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Graduate How is the Chain Rule Applied in Geometric Tangent Vectors?
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Graduate Using Tensor Notations and Levi Civita Symbol to Prove Lagrange's Identity
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Graduate Need Help with Mathematical Proof? - Introducing Myself & Seeking Assistance
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Graduate Curl of Gradient: When is a Conservative Field Not Irrotational?
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Graduate Properties of Differentials, Smooth Manifolds.
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Graduate Is It More Precise to Define Manifolds as Topological Vector Spaces?
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Graduate Derivative of a curve traversed in the opposite direction
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Graduate Understanding Manifolds and Riemann Manifolds: Applications and Explanation
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Graduate What is an "induced map"? Is it a Quotient Map?
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Graduate Can a Set of Sections Globally Generate a Vector Bundle?
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Graduate Sphere is the object that has the minimal area for a fix volume, proof
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Graduate Integral of mean curvature function
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Graduate Elementary Differential Forms Question
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Graduate Question about Differential Forms as Size of Projections
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Graduate Equivariant Homotopy: M & N Manifolds, G-Action & Cohomology Rings
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Graduate Comparing Norms & Metrics: Axioms & Differences
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Graduate Divergence theorem question on hyperplanes
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Graduate A rather difficult problem: deltoid inscribed into an ellipse
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Graduate Can Intersecting Planes Be Represented by a New Form of 3D Angles?
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Graduate Differentisl geometry internal contraction
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Graduate Bochner-Weitzenbock formula (-> Laplacian)
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Graduate Diffeomorphisms, Differential Structure, ETC.
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Graduate Unit of Four Dimensional Space Measurement?
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Graduate Proof by Induction: Closure of Union = Union of Closures
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Graduate How Can the Laplacian Relate to Einstein Manifolds?
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Graduate Is a cone the degenerate of a 4 dimensional hyperbola?
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Graduate How to understand differential geometry
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Graduate Definition of the boundary map for chain complexes
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Graduate Summing the Mountains and Valleys of a Regular Polygon
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Graduate The Relation between Cup Product and Wedge Product
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Graduate Can a Triangle Have Angles Over 180 Degrees Without 3D Embedding?
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Graduate Generalizing Cross Products: Finding Orthogonal Vectors in n-Dimensional Space?
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Graduate How does the curl equation measure rotation?
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Graduate How to find angle after two rotations
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