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.
Undergrad Difference between isomorphism and equality in graph theory?
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Graduate Time-dependent Riemannian metric
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Graduate Nonzero exact 1-form implies foliation?
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Undergrad How do you construct the pattern of a dragonfly wing using the golden ratio?
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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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High School Opposite of Polygon: Open Shapes & Names
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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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Undergrad Finding Tangent Lines to Two Circles
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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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Undergrad Basic triangle plane geometry problem - impossible?
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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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Undergrad Convention in parametric equation of parabola.
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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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Undergrad Calculating the dimensions of an arc
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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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Undergrad Determine angle of intersecting lines inside a circle
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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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Graduate Curve Parametrization: Minimum Parameters for Unique Point Specification
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Graduate Question about Stokes' Thm and Boundaries of Surfaces
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Graduate Is a (smooth) manifold allowed to have different dimensions in different points.
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Graduate Geometry of Physics: Study w/o Math Background? - Theodore Frankel
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Graduate Looking for Gauss-Bonnet counterexample
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Graduate Hyperbolic Function with Asymmetric Asymptotes
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Graduate Interpretiing the Dolbeault operators
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High School Finding radius given three points?
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Graduate What Geometry Emerges from a Non-Standard Induced Connection?
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Graduate Symplectic Geometry: Learn, Understand & Expert Articles/Books
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Graduate What is the angle between star A, B, and C on the celestial sphere?
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Graduate What Sets Delta-Complexes Apart from Simplicial Complexes?
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Graduate Solving Laplace's Equation with Covariant Derivative
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High School (Hopefully)Very quick volume calculation question
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Graduate How Does Affine Geometry Define the Join of Subspaces?
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Undergrad Special integration of Sphere Volume
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Graduate Parabolic Coordinates & Cartesian Coordinates - 1-1 Mapping
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Graduate First fundamental form and squared arc length element
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Undergrad What Are Affordable and Beginner-Friendly Books on Tensor Calculus?
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Graduate Orthonormal basis => vanishing Riemann curvature tensor
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Graduate Question about grad f on the x-y plane
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Graduate How Can Differential Forms Be Used to Compute Areas and Volumes?
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Undergrad Arc of a cylinder - would appreciate help
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Graduate Minimal Surface: Is X a Minimal Surface?
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Graduate Find a constrained equilateral inner triangle of a triangle
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Graduate How Do You Compute the Pullback of a Differential Form in Flanders' Text?
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Graduate Convexity in the real projective plane?
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High School How to measure perimeter without pi?
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Graduate Counter Intuitive result for Surface area of Helical Ribbon
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Graduate Question about curvilinear coordinates
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Undergrad How many rectangles fit in a triangle?
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Undergrad Deriving the Spherical Unit Vectors
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