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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 Can Geodesic Surfaces Minimize Area Like Curves Minimize Length?
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Graduate What are the main considerations when defining a smooth manifold?
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Graduate Revolving around a sphere helically?
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Graduate RP^2 vs CP: Comparing Stenographic Representations
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Graduate How Can I Create a Diagrammatic Notation Editor for Penrose's Notation?
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Graduate Understanding Normal One-Forms for Plane x=0
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Graduate How to Parametrize a 3D Circle and Find the Closest Point?
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Graduate Can the Noether current be derived from the electrodynamic Lagrangian?
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Graduate Parallelizability vs. hairy ball theorem
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Graduate Gaussian Curvature of (x^2+y^2+1)^-2
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Graduate Extending a transformation from a curve to the whole space
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Graduate Spherical Harmonic Integration
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Graduate To transform from flat to curved space
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Graduate Can a subset of R^n have multiple centres of symmetry?
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Graduate Intuition for Covariant derivative of a Tensor Field
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Graduate Coordinates adapted to two vector fields
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Graduate Hilbert Manifolds: An Infinite Dimensional Analogy to Smooth Manifolds?
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Graduate What Are the Kissing Numbers for Different Sized Spheres in 3D?
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Graduate Understanding Tensor Operations: From Multilinear Mappings to Vector Spaces
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Graduate Is m a finitely generated ideal over C^{\infty}(M)?
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Graduate How Does a Function on Manifolds Change When Transferred from M to N?
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Graduate Where is the Centroid of a Moebius Strip? [SOLVED]
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Graduate Topology Question:Connected Components
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Graduate Showing SO(3) Subset is Projective Plane Diffeomorphic
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Graduate Are vector bundles principal bundles?
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Graduate Does Every Coordinate System Admit Local Othornormal Basis Vectors
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Graduate Foliation, fibration, fiber bundle?
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Graduate How to find rotation parameter in sphere?
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Graduate Topology Question: Continuous Functions and Simply Connected Subsets
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Graduate Manifolds / Lie Groups - confusing notation
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Graduate Proof of Quotient Map Q: A -> R for Exam Review
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Graduate Prove Homeomorphism of {A in GL(n;R) | det(A)>0 & det(A)<0}
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Graduate Are Diffeomorphic Manifolds Sharing a Unique Property?
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Graduate What is the solution to the geodesic equation for a torus?
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Graduate Understanding the Power Map in Tensor Analysis: Bishop and Goldberg Page 6
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Graduate The Wildest point on an ellipse
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Graduate Diagrammatic Notation for Tensors: Worthwhile Learning?
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Graduate Understand differentiable manifolds
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Graduate What determines the number of differentiable structures on a manifold?
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Graduate Can You Explain the Meaning of the Affine Connection in Simple Terms?
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Graduate Tangent vectors in affine spaces
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Graduate What is the relationship between differential forms and degree?
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Graduate How can we prove path connectedness and disconnectedness of certain groups?
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Graduate Proving Geodesic Pushed by Isometric Diffeomorphism
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Graduate Theorem Egregium: Intrinsic Extrinsic Gauss Curvature of 3D Surfaces
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Graduate What is the significance of immersions and embeddings in the study of manifolds?
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Graduate What Is the Dual Space in Spivak's Calculus on Manifolds?
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Graduate Preparing for Differential Geometry Class: Basics to Know
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Graduate Number of zeros of (tangent) vector field on sphere
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Graduate What Does the Dirac Delta Function Look Like in Curved Spacetime?
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Graduate Convert flat space function to curved space function?
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Graduate Understanding the Difference between Scalar and Dot Product in Tensor Calculus
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Graduate Advisement on 4-manifolds: please suggest
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Graduate Reconciling Differential Forms Inner Product of Wedge with GA Dot
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Graduate How Do You Calculate Ray and Ellipsoid Intersections?
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Graduate Differential modulo another differential
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Graduate Can a point on any 2d surface be uniquely identified by only 2 coordinates?
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Graduate Classification Theorem of Surfaces
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Graduate How to prove a function is an isometry
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Graduate What is the Difference Between a Lie Subalgebra and a Subspace?
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Graduate Gamma How to Calculate Gamma: Step by Step
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Graduate Kahler Manifolds: Understanding Mutual Compatibility
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Graduate How to Derive d^* Without Using the Hodge Star Operator?
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Graduate Is My Understanding of Homotopy and the Fundamental Group Correct?
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Graduate Parallel transport in flat polar coordinates
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Graduate What Are Tensors and Their Applications in Mathematics?
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Graduate I am trying to figure out what exactly a dyadic is
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Graduate Covariant derivative of metric tensor
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Graduate Comparing Books on Lie Groups: Representations & Compact Lie Groups
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Graduate How Can I Find Tangents on a Surface Passing Through an External Point?
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Graduate Exterior Calculus and Differential Forms?
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Graduate Is H'_n(X) Isomorphic to H_n(X, y) in Relative Singular Homology?
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Graduate Tensor product commutes with pullback?
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Graduate Divergence of a two dimensional 3 order tensor
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Graduate Curl or maxwell equations in higher dimensions
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Graduate The space of continuous functions.
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Graduate Calculating Riemannian Metric Tensor for a Vector
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Graduate Does Convergence in Open-Compact Topology Ensure Pointwise Convergence?
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Graduate What happens when you multiply two simplices?
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Graduate Proving the Existence of Fixed Points in Compact Metric Spaces
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Graduate Examples of Separation Axioms
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Graduate Pascal's Triangle for non-commutative?
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Graduate Serre Spectral Sequence. Motivation
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Graduate Lie Derivative of Real-Valued Functions and Vectorfields on Manifolds
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Graduate Rotate point on sphere to exactly 'cut sphere in half'
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Graduate Definition of a function by a metric.
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Graduate Advice on complex analysis, Riemann surface & complex mappings.
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Graduate Normal space goes to Normal space.
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Graduate What is the Connection Between Fibre Bundles and Their Components?
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Graduate Understanding the Lie Derivative for Tensor Fields
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Graduate What Does the Bracket Operation < , > Signify in the Intersection Form Qm?
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Graduate Proving Equivalence of Metrics Using Concavity
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Graduate Prove Tensor Analysis Relation: Γᵢₖᵣ = ∊ᵢ • ∂∊ⱼ/∂qᵏ
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Graduate Singularities and conservative vector fields
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Graduate What are the basics of differential topology?
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Graduate Topological continuity (a few questions).
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Graduate Does c(t) = ((1+t,0),(0,1+t)) Provide a Counterexample on p.85 of Spivak's Book?
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Graduate What Resources Best Translate Mathematical Tensors for Physicists?
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Graduate Why Are Lie Groups Considered Manifolds?
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Graduate Which Lie Groups are Riemann Manifolds?
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