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 Does a 3D Half-Edge Data Structure Exist?
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Graduate How to find an angle in spherical geometry.
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Graduate Where Does the Coordinate Basis Approach to Lie Groups Break Down?
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Graduate How to calculate the solid angle of a cone with cone axis arbitrary?
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Graduate Fixed Point Theorem: Unit Square Injection to Bigger Square
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Graduate Differential geometry vs differential topology
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Graduate Definition of the wedge product on the exterior algebra of a vector space
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Graduate FKG Inequality: Reference & Explanation
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Graduate Atlas of complex projective 3-space ##\mathbb{C}P^3##
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Graduate Graphing Covariant Spherical Coordinates
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Graduate Does Every Circle Bundle Originate from a 2-Plane Bundle?
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Graduate Why do different dimensions have different numbers of differential structures?
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Graduate Continuous R^2xR^2xR^2/E^+(2) -> R^3 injection
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Graduate Difficulty with the pullback bundle
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Graduate Understanding Riemann Surfaces in Complex Analysis
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Graduate Can Seven Vertices of a 19-Gon Form a Trapezoid Using the Pigeonhole Principle?
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Graduate How To define charts and atlases
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Graduate A Question about de Rham's Theorem
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Graduate Example of cover (of a set) having finite sub-covers in collection.
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Graduate Showing the Fundamental Group of S^1 is isomorphic to the integers
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Graduate Invariant Tensors and Lorentz Transformation
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Graduate Confusion about Christoffel Symbols
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Graduate How Does Holonomy Relate to Curvature in Higher Dimensional Principal Bundles?
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Graduate Distance-preserving maps are compositions of rotations and translations
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Graduate How Do I Translate These French Math Terms?
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Graduate Is There a Positive Constant for a Polynomial Inequality with Two Variables?
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Graduate Embedding of the join of P3 and C4
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Graduate What Mathematical Expression Describes a Cone with a Flat Tip?
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Graduate Fundamental Group of the Torus-Figure 8
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Graduate How Do Projective and Affine Varieties Relate in P^n?
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Graduate Cutting a hole in the projective plane
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Graduate What is the Asymptotic Volume Fraction of Randomly Distributed Spheres in a Box?
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Graduate A question about multiresolution analysis (from a topological point of view)
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Graduate Calculate the arc length between two points over a hyper-sphere
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Graduate Intersection point between n-vector and n-sphere
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Graduate What Are the Practical Applications of the Fourth Dimension in Analysis?
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Graduate How to use a 4x4 Matrix to translate a point in 3D space
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Graduate Question on Jacobian determinant
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Graduate Is there a vector version of The Elements?
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Graduate Does there exist a pair of interesecting lines that arent coplanar
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Graduate Question on Jacobian with function composition and inverse functions
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Graduate Power Series for Volume of Balls in Riemannian Manifold
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Graduate Understanding the Trefoil Knot and Its Function on a Torus
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Graduate What is the largest n dimensional box that can fit inside a sphere?
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Graduate How Is U(n) Embedded in O(2n) as a Subgroup?
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Graduate Real life engineering problem I or guidance
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Graduate Charts of a torus (and other manifolds)
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Graduate How change from one to another coordinate system
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Graduate Orientation Forms in Different Codimension.
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Graduate Mapping Torus of a Manifold is a Manifold.
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Graduate The connection as a choice of horizontal subspace?
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Graduate Deriving the equation of points for exact fitting and shape analysis
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Graduate Archemedian Spiral Flight Path: Calculating Arc Length & Equations
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Graduate Inner product of rank 2 tensor and a vector
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Graduate What Matrix Transformation Projects a 3D Planar Shape onto the XY Plane?
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Graduate Algorithm for testing intersection of point and compound polygon
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Graduate Generalizing the Hairy Ball Thorem - Higher Dimensions and Higher-Order Tensors
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Graduate How to design algebraic function with particular ramified covering?
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Graduate Inspiration help on nullstellensatz
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Graduate More on Diff. Forms and Distributions as Kernels
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Graduate Using Forms to Define Orientation of Curves.
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Graduate Calculating the intersection of a branching point
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Graduate Covector fields - did I get them wrong?
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Graduate Geometric interpretation of metric tensor
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Graduate Understanding displacements of points by interpreting directions
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Graduate Kernels, and Representations of Diff. Forms.
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Graduate Looking for a Theorem of Continuous Functions
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Graduate Sobolev class of loops to a compact lie Group
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Graduate Understanding 1/2 of Van Kampen's Theorem
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Graduate Hyperbolic Paraboloid and Isometry
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Graduate Riemannian connection basic question about computing
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Graduate Proving the Containment Property of Polar Cones for Sets in R^n
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Graduate Scalar product in spherical coordinates
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Graduate Scalar fields/ Scalar functions / Vector fields / Vector functions
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Graduate Finding straight line distance between an ellipsoid and a point
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Graduate Sufficient condition for global flatness
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Graduate Weighted average of arbitrary k points from a line
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Graduate Differential Geomtery. Find the vertices the equation
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Graduate Can You Prove the Inequality in Triangles with Arbitrary Points?
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Graduate Prove that for any graph G, the connectivity is less that the minimum degree
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Graduate Confirm Mistake in Nakahara's Geometry, Topology, Physics
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Graduate Measure of the Sharpness of a curve
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Graduate What is a Liouville Isomorphism in the Context of Symplectization?
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Graduate Problem expanding algebraic function via Newton polygon
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Graduate Algebraic Topology: Connected Sum & Reference Help
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Graduate Solenoidal and conservative fields
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Graduate Does an Orthonormal Frame Exist on a Surface with a Riemannian Metric?
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Graduate Genus of aribtrary algebraic function
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Graduate The area form of a Riemannian surface
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Graduate How to Determine the Minor Axis of an Ellipse from Given Points?
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Graduate Confused as to what constitutes a manifold?
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Graduate Relations between compactness and connectedness
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Graduate How does changing the metric on a manifold affect the shape of the manifold?
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Graduate Perimeter and surface area of skewed end semi cylinder
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Graduate Introduction to Tensor Calculus and Continuum Mechanics
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Graduate Relationships of hyperbolic Paraboloids
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Graduate Proving the contracted epsilon identity
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Graduate Distance from a point to a line defined in R^N
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Graduate Is any relation between curl and uniform shear available?
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Graduate Cartan's 1924 mystery formula differential Geometry
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