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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 Equation of a Plane in R^n , n>3
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Graduate Does this theorem have a name?
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Graduate What is a Differential Structure on a Manifold?
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Graduate Exploring the Relationship between Spinors and Mobius Strips in Rotations
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Graduate What Maps Induce Isomorphisms on Lower but Not Higher Homology Groups?
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Graduate Generators of a null hypersurface
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Graduate Proof of Normal Vector Field for Hypersurface Sigma
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Graduate Is Euclid's Postulate 5 really a postulate of parallels ?
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Graduate Which Book Is Best for Learning Differential Geometry?
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Graduate Fitting an ellipse to a quadratic curve
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Graduate How Do Euclidian, Topological, Metric, and Vector Spaces Differ?
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Graduate Null-homotopic, Retracts: Review for Prelims.
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Graduate Finding the Degree of a Map on S^3 and its Homotopy with the Identity
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Graduate Tangent vectors as equivalence classes of curves
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Graduate Fine Topology on [0,1]: Equivalence to Euclidean Topology?
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Graduate What Are the Open Sets of U(N)?
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Graduate An detail in proving the homotopy invariance of homology
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Graduate From plane to hyperplane in high dimension
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Graduate Divergence of left invariant vector field
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Graduate Rotation matrix from vectors to cone
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Graduate How does the intersection form change when changing coefficient rings?
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Graduate Generating Set for Mapping-Class Group of Genus-g Surface.
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Graduate Question- abstract index notation
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Graduate Is De Rham's first theorem applicable to non-compact manifolds?
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Graduate Using Jordan Curve Thm to Show H_n(R^n) Trivial?
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Graduate Funny Universal Cover: What is it?
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Graduate Def./Examples of Spin Structure Re Trivial Bundles?
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Graduate What Is the Group U(2) in the Context of Particle Physics?
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Graduate Homology of Disjoint Union: Formalizing the Result.
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Graduate Lie groups and non-vanishing vector fields
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Graduate Solve Cubic Equations: Elliptic Curve in Weierstrass Normal Form
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Graduate How Do You Express the Variation of a General Metric Tensor?
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Graduate Determining the Lie Algebra of a Vector Space
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Graduate Did Curtis LeMay Discover Fractal Geometry in 1942?
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Graduate What are some recommended resources for practicing problems on smooth manifolds?
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Graduate Can Torsion of a Curve Be Generalized from 3D to 4D?
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Graduate Mapping Class Group of the Torus.
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Graduate Distance between a point and a triangular plane segment
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Graduate Why is P outside and nearer to A if λ/μ is between -1 and 0?
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Graduate What is the meaning of the shorthand notation used in dynamical systems?
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Graduate Time-dependent Riemannian metric
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Graduate Nonzero exact 1-form implies foliation?
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Graduate Simple-Connectedness in Complex Plane: Def. in Terms of Riemann Sphere.
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Graduate Characteristic Homology Classes
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Graduate Homotopy extension property for CW pairs (Hatcher)
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Graduate Homology and Integration; Req. for Proof.
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Graduate Connected Sum of Orientable Manifolds is Orientable
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Graduate Special sequences in a product metric space
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Graduate Bounding Pairs of Dehn Twists are Trivial
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Graduate Can A Tensor Multiplied by 0 Produce a Null Tensor?
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Graduate Basic Confusion: Genus, Homology (Exm of Torus)
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Graduate Proving Constant Angle of Tangent Lines to a Curve with y=0 and z=x
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Graduate Is the Transversal Intersection of Manifolds a Manifold?
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Graduate Volume of partial ellipsoid cut by plane
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Graduate Desargues Theorem Proof Using Homogeneous Coordinate
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Graduate Calculating Surface Area Perturbations in n-Sphere Theory
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Graduate Metric field and coordinate system
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Graduate Do Charts of a Smooth Manifold Always Overlap?
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Graduate Law of Sines (Elliptic, Hyperbolic, Euclidean)
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Graduate What is the proof for the statement about facets in a simplex triangulation?
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Graduate What is the Universal Cover of the Figure-8?
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Graduate Why is homology isomorphic to reduced homology plus Z?
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Graduate Why chern number must be an integer?
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Graduate What Are 4-vectors and Relativistic Tensors?
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Graduate Product of Two Levi-Civita Symbols in N-dimensions
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Graduate Dihedral angles for expanded icosidodecahedron.
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Graduate Get Lorentzian Spherically Symmetric Metric to Sylvester Form
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Graduate Basic thing of Conic in Projective Geometry
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Graduate What are Calabi-Yau Manifolds?
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Graduate What is the definition of Lie derivatives?
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Graduate Uncertain about premise for proof.
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Graduate Understanding Groupoids: Axioms & Difference from Groups
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Graduate Proving Non-Decomposability of Wedge Product in Higher Dimensional Vector Spaces
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Graduate Time Dependent Semi-Major & Semi-Minor Axes in Ellipse Equation
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Graduate Transformation to get a metric to diagonal form
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Graduate Equation of Curve Using Arc Length and Two Points
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Graduate Optimal Number of Charts for Smooth Manifolds in Dimension 2
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Graduate Understanding Objective Derivatives in Continuum Mechanics: A Simplified Guide
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Graduate Trying to study Tensors (but )
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Graduate Metric Tensors for 2-Dimensional Spheres and Hyperbolas
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Graduate Christoffel Symbols - Gauge Fields
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Graduate What is the Name for the Linear Mapping f* and How is it Proven?
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Graduate Calculating the killing vector fields for axial symmetry
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Graduate What are the key concepts of 4D Knot Theory and Reidermeister Moves?
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Graduate Symmetric Part of a Mixed (1,1) Tensor
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Graduate Relations of an affine space with R^n , and the construction of Euclidean space
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Graduate Determining the orientation of ellipsoids after 2 rotations
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Graduate Complement of a Handlebody also a Handlebody?
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Graduate Can embedding a manifold in a higher dimension space have drawbacks?
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Graduate Local Trivialization in Covering Spaces
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Graduate Prove that diffeomorphisms are between manifolds with the same dimension
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Graduate Codimension k Stratum: A Manifold with Corners
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Graduate Covariant derivative vs Gauge Covariant derivative
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Graduate How Does A Strain Tensor Transform?
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Graduate Is the Pushforward of a Lie Bracket the Lie Bracket of the Pushforwards?
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Graduate Cup Product and Representability
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Graduate Another form of cubic folium equation
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Graduate Expansion of the commutator of two vector fields
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Graduate Action of Lie Brackets on vector fields multiplied by functions
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Graduate Calculating Mass of a Subset in SO(n) Using Definite Integrals
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