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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 In how many ways can you embed a Riemannian manifold in R^n?
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Graduate Can Non-Smooth C^1 Knots be Orientable?
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Graduate Differential Geometry: Understanding the Affine Tangent Plane at a Point
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Graduate What Properties Are Preserved by Diffeomorphisms?
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Graduate How do axioms for Euclidean geometry exclude non-trivial topology?
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Graduate Orientation of a Submanifold, given an Orientation of Ambient Manifold
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Graduate Is the Dual of a Reeb field a Contact Form?
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Graduate A curve that intersects itself at some point w/o trig functions
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Graduate Length change of diagonal in deformable triangle
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Graduate Transversality of a Vector Field in terms of Forms (Open Books)
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Graduate Help in re-parameterizing the curve
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Graduate Naturality/commutativity of Mayer-Vietoris giving wrong answer?
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Graduate Challenge 10b: Temperatures of the Earth
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Graduate Is the Metric g a Complex Manifold?
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Graduate How Do Line and Surface Infinitesimals Differ in Mathematical Formulations?
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Graduate Compactability and Killing vectors
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Graduate Induced Metric of a 2-Sphere: Why i≠j?
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Graduate Does a compact manifold always have bounded sectional curvature?
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Graduate Hyperbolic geometry - relations between lines, curves, and hyperbolas
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Graduate Integral Definition of Exterior Derivative?
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Graduate Should You Choose Classical or Modern Texts for Studying Curved Surfaces?
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Graduate Are Exact Forms on Smooth Manifolds Always a Sheaf?
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Graduate Jacobi identity for covariant derivatives proof.
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Graduate How fundamental are functions, really?
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Graduate What Are Tensors and Why Are They Important in Physics?
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Graduate Relation between parameters of a vector field and it's projection
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Graduate Dimensionality of the space of p-forms
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Graduate Component of vector parallel to boundary while calculating divergence
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Graduate Regarding representations of the Lorentz group
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Graduate Morse-witten cohomology for non-orientable target spaces
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Graduate Tangent space on complex manifolds
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Graduate Proving Kähler, finding the Kähler form
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Graduate Question on differentiable manifolds and tangent spaces
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Graduate Example of differentiable manifold of class C^1
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Graduate Finding Reeb Vector Fields Associated with Contact Forms
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Graduate What are some examples of open subsets that are not manifolds?
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Graduate Redundancy of Lie Group Conditions
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Graduate What Distinguishes a Reeb Vector Field from a General Contact Field?
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Graduate Clarification on Lie Derivatives
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Graduate Where to learn differential geometry online?
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Graduate Calculating reciprocal base vectors
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Graduate Products of Embedded Submanifolds
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Graduate Circles in Minkowski space: unknown notation
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Graduate Trigonometric function expanded in spherical harmonics
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Graduate Parameterize a geodesic using one of the coordinates
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Graduate General Conditions for Stokes' Theorem
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Graduate The Gradient Theorem: Understanding the Physical Interpretation and Intuition
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Graduate Rotating Shapes: Length of X-Axis at Time t
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Graduate Differentiation Problem on Lie Groups
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Graduate Regarding coordinate and non-coordinate bases
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Graduate Riemann surfaces over algebraic surfaces
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Graduate What Is the Difference Between M^a_b and M_b^a in Tensor-Index Notation?
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Graduate Exterior differentiation and pullback
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Graduate On local trivializations and transition functions of fibre bundles
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Graduate Is there a formula for these circles?
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Graduate Finishing a Supposedly Simple Proof
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Graduate Literature on differential geometry, suggestions?
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Graduate Litterature on small or compact dimensions?
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Graduate Relation between det(spacetime metric) and det(spatial metric)
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Graduate Help with Derivation: u^-1(\partial_\mu u)u^-1 = \partial_\mu(u^-1)
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Graduate Can the tensor product be visualized as a machine for processing vectors?
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Graduate Definition of Parallel Vectors in Vector Spaces
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Graduate Definition of the extrinsic-curvature tensor.
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Graduate Straight lines and flat surfaces
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Graduate Good treatments on the differential geometry on surfaces.
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Graduate Why using diff. forms in electromagnetism?
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Graduate Covariant derivative of a commutator (deriving Bianchi identity)
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Graduate Problem with Einstein notation and Levi-Civita symbol
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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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Graduate Can l'Hopital's Rule Be Generalized for Differentiable Maps Between Manifolds?
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Graduate Arc length of a regular parametrized curve
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Graduate Calculating area with the metric
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Graduate Intuition behind two manifolds being the same.
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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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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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Graduate What is the Hodge dual and how does it work?
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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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Graduate What is the Issue with Tensor Contraction Notation?
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Graduate First Fundamental Form from tangent vectors
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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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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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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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