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 Properties of a volume in 3D Euclidean space
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High School Solid Geometry: Why it's No Longer Taught & Resources to Learn It
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Graduate Is There a Unique Torsion-Free Affine Connection on a Lie Group?
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Undergrad Geometry Area Proof (quadrilateral)
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Graduate Evaluating T(A,A) and Components of T(A,__) in Minkowski Spacetime
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Graduate Differentiable manifold not riemannian
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Graduate Question whether 2 spaces are diffeomorphic
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Graduate Computating the components of a tensor
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Graduate Alexander Duality & Cup Product: Commuting?
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High School Is a Cone Considered a Solid or a Surface?
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Graduate Calculating Moment Maps: Worked Examples Needed
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Graduate Proving Compatibility of Charts in a Union of Atlases
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Graduate Fundamental Group of the projective plane after we remove n points?
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Undergrad Parallax, angle to observer etc.
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Undergrad Compass and straightedge angle construction
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Graduate Differential geometry and hamiltonian dynamics
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Graduate Euclidian topology ang cofinite topology
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Graduate Visualizing Immersions vs. Submersions
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High School Geometry Proof Help: I Need Assistance Now!
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Graduate How to compute the metric without an embedding
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Graduate Relating inverse metric to densitized triads
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Graduate Lie derivative of vector field = commutator
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Graduate SO(n) actions on vector bundles
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Graduate Can someone explain this proof to me?
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Undergrad Rotating frames of Motion in Vector Notation
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Graduate Tensor components of a Hodge dual
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Graduate Comparing Tensor Double Dot Scalar Product Definitions
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Graduate How to compute the cohomology of the Klein bottle
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Undergrad How to find 3D point on the 3D line with given distance and from given 3D point
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Graduate Proving that the cartesian metric is rotation invariant
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Graduate Local Invariants: Definition, Examples & Curvature
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Graduate How to prove there is no Lebesgue number for open cover (1/n,1)?
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Graduate Physics Major's Questions on Geodesics
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Graduate Divergence Theorem: Show 0 Integral on Closed Surface
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Graduate Nonsqueezing theorem - a proof with the action
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Graduate Construct 2-Fold Cover of M Using H^1(M;Z2)
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Graduate Two topological spaces are homeomorphic
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Undergrad What Is the Poincaré Disc and How Do Its Edges Represent Infinity?
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Undergrad Triangle Square: How Does the Largest Equilateral Triangle Fit Inside a Square?
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Graduate Curvature and locally flat spaces
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Graduate Curvilinear coordinates question
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Graduate Verifying Manifold from RP2 to R4 Embedding
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Graduate Is DxD -> R by e(z,w)=|(z-w)/(1-w'z)| a Metric Space?
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Undergrad Dot product of vector function?
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Graduate Is There a Smooth Map from S^n to the Equator E of S^n for n ≥ 2?
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Undergrad Compute Penalty Function for Distance from Two Boundaries
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Graduate Integral curves and one-parameter groups of diffeomorphisms
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Graduate Understand Isotropic Tensors for Physics
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Graduate Computing tangent spaces of implicitly defined manifolds
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Graduate Lie Algebra Structure of 3-Sphere: Left Invariant Vector Fields
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Graduate 16 different spherical coordinate systems
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Graduate Need the parametric equation of a circle perpendicular to a vector.
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Graduate Is There a Limit to the Possible Metrics on a Riemannian Manifold?
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Graduate Scaling and Translation Invariance
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Graduate How can we represent tensors in conformal model?
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Graduate Geometrical meaning of spectrum in algebraic geometry
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Graduate Reading Analysis on Manifolds by Munkres
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Graduate What are the names of surfaces that are tangent to a vector field?
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Graduate The kelin bottle and the projective plane
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Graduate Finite Metric Space Imbedding in Manifolds
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Graduate Why is |dt| Equal to dφ in the Frenet-Serret Formula?
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Graduate If a set A is both open and closed then it is R(set of real numbers)
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Graduate Defining the Cup Product in Cubular Homology Theory
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Graduate Comparing C^2 to R^4: Complex Lines vs Real Planes
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Graduate Compactness of V in Minkowski Space: A Question
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Graduate Finding middle group in short exact sequence
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Graduate Weird singularities/cylindrical & spherical coordinates
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Graduate Orthonormal Frame: is $\nabla_{e_1}e_j$ 0 if i≠j?
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High School Basic method of finding geographic centre of a small country
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Undergrad What is the surface area of a Mobius strip made from a strip of paper?
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Graduate Finding Dual Space Coordinates for Projective Geometry Points
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Undergrad Helix - Variable Diameter with constant Pitch
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Graduate 4-Manifolds and Kirby Calculus by Gompf.
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Graduate Maximal Exterior product of Tangent space
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Graduate Are there operators that change the curvature of manifolds?
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Graduate Can you explain the geometric interpretation of the Levi-Civita connection?
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Graduate Can 5-Dimensional Objects Exist Without 4-Dimensional Surfaces?
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Graduate Why Does dS Space Have a (4+1) Signature?
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Graduate For professionals - differential geometry
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Undergrad How to Calculate the Circumference of a Specific Point on a Ball
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Undergrad Output a geometry rather than a number
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Graduate Integration/Differentiation on abstract spaces
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Graduate Misunderstanding of isomorphism and automorphism
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Graduate Curl of - \frac{1}{\rho} \vec \nabla p
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Graduate Differential Topology: Essential Concepts Explained
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Graduate Understanding Index Notation: Multiplying Vectors & Tensors
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Graduate Equation of a Curve in R3 with Constant Inclination: Need Help!
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Graduate Geodesic deviation & Jacobi Equation
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Graduate Edwin Spanier Algebraic Topology difficulty?
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Graduate What Are Standard Ways to Define Topology on Function Spaces?
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Graduate Deciding Between DG & PDE Graduate Math Classes
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Graduate Convergence in a Discrete Metric Space - What Does It Mean?
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Graduate Real Line Intervals as Closed, Bounded Non-Compact Spaces
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Graduate Is the Collection of Rational Balls a Basis for the Euclidean Topology on R^n?
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Graduate How Can You Determine the Radius of Curvature Without Knowing R?
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Graduate Geometric algebra vs. differential forms
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Graduate Let omega=x dx+y dy+z dz be a 1-form
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Graduate Frobenius' Theorem: Characterization & Proof Difficulty
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Graduate Covariant derivative in polar coordinates
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Graduate Semigeodesic parameterization I am a little confused
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