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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 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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Undergrad The widest point on an ellipsoid
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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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Undergrad Finding the Normal to a Plane Using Vector Geometry
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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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Find English translations of Elie Cartan's Papers
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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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Undergrad Area of Isosceles Triangle Given Radius & Altitude
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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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High School Scalar vs Vector: Explaining the Difference
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Graduate Prove Tensor Analysis Relation: Γᵢₖᵣ = ∊ᵢ • ∂∊ⱼ/∂qᵏ
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Undergrad Consider a surface S on which a scalar field f is defined
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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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Undergrad Bezier curve(again): given Y, solve for X
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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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Graduate How to Prove the Magnetic Induction B from Vector Potential A Elegantly?
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Graduate Understanding Surface Tensors: Pauli's Theory of Relativity
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Graduate Transformation of Rank 2 mixed tensor
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Graduate Understanding the Gradient and Divergence of Cartesian Tensors
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Undergrad Can You Convert a 2D Shape into 3D by Rotating It?
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Graduate Non-Orthogonality of Frames Del/Delx^i ; i=1, n
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Graduate Calculating Offsets on the Normal Coordinate System
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Graduate What is the Difference Between Vectors and Covectors?
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Graduate Geodesic coordinates and tensor identities
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Graduate Solve Gauss Curvature for Ruled Surface: A(s)+tB(s)
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Graduate Understanding tensor contraction
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Graduate Frenet-Serre Frames and circles.
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Graduate Deriving T(\theta,\tau) from Definition of $\otimes$
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Graduate Help with determining Angle of Rotation for a Conic, please.
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Graduate Are Geodesics Preserved by Diffeomorphisms of Hyperbolic Geometry?
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Graduate Can a One Parameter Family of Metrics Be Metricizable?
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Graduate The Physical Significance of Tensor Product
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Graduate Translation of euler angles into rotation around arbitrary axis
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Graduate Non-integrable tangent distributions
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Graduate M-Curves: Representations & Properties of C^oo Manifolds
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Graduate Is the correct formula for curvature using the arc length parameter?
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Graduate Surface with Ricci scalar equal to two
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Graduate Can Vector Fields be Extended to Submanifolds?
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Graduate What is the equation for helical path length around a torus?
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Graduate Non-Degenerate Tensors: What is the Meaning and Significance?
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Graduate Manifold & Metric: Does it Need a Metric?
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Graduate How to Perform Operations on Vector Fields F and G?
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Graduate Understanding Motivation of De Rham Cohomology for Manifolds
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Graduate Poincare Conjecture: Fundamental Group of V Explained
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Graduate What is the Role of Lie Groups in Isometry Actions on Spaces?
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Graduate Geodesics in Modified Euclidean Spaces: Is There a General Statement?
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Graduate Connections in differential geometry
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