Differential Geometry Forum

Post thread
Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Graduate Can a contour integral be used to detect complex polygon deformations?
  • · Replies 5 ·
Replies
5
Views
8K
Graduate Proving Topology Continuity for F: X x Y -> Z in Separate Variables
  • · Replies 1 ·
Replies
1
Views
3K
Graduate What Are Stiefel-Whitney Homology Classes?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Can General Relativity and Curved Spaces Be Described in Complex Coordinates?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Can the Universe have a positive curvature everywhere and still be infinite?
  • · Replies 12 ·
Replies
12
Views
4K
Graduate Christoffel symbols and tensor analysis
  • · Replies 5 ·
Replies
5
Views
7K
Graduate Constructing Mono/Epi Functions for Algebraic Topology
  • · Replies 4 ·
Replies
4
Views
7K
Graduate Localizing a point in a circle by 2 points on the circumference
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Find Eccentricity of Conic Passing Through Origin with Focii (5,12) and (24,7)
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Betti Numbers: Understanding the Topology of Spaces
  • · Replies 10 ·
Replies
10
Views
6K
Graduate Three things I don't get about CW-complexes
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Is the Closure of a Subset Always in the Union of Neighborhoods?
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Curl of a vector in a NON-orthogonal curvilinear coordinate system
  • · Replies 4 ·
Replies
4
Views
7K
Graduate What are examples of cellular decomposition?
  • · Replies 2 ·
Replies
2
Views
4K
Graduate How to show completeness of C(K)?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Is C([0,1]) a Topological Vector Space?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Difference Between Subbasis and Basis in Topology
  • · Replies 2 ·
Replies
2
Views
8K
Undergrad So... how do I find the area of a circle segment without knowing the angle?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Intro to Diff. Geom. PLEASE COMMENT.
  • · Replies 13 ·
Replies
13
Views
4K
Graduate Proving Openness of $\pi_1$ and $\pi_2$ Maps
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Mathematics descriptions of objects not found in the real world
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Proving the Countable Collection is a Basis for R2 using Definition of a Basis
  • · Replies 2 ·
Replies
2
Views
4K
Graduate How Do Subspace Topologies Compare When One is Finer?
  • · Replies 1 ·
Replies
1
Views
5K
Graduate Subspace vs Subset: Inheritance of Topology
  • · Replies 1 ·
Replies
1
Views
6K
Graduate Comparing Topologies: Rl and Rk vs. Standard Topology
  • · Replies 1 ·
Replies
1
Views
5K
High School Can the sum of angles of a planar triangle be greater than 180?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate How Are Tensors Represented and Why Are Their Notations Significant?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Basic Alg. Geometry: Nodal Singularities. Attn Wonk.
  • · Replies 0 ·
Replies
0
Views
3K
Undergrad Cylinder: Ratio Volume/Surface Area
  • · Replies 1 ·
Replies
1
Views
23K
Graduate Introduction to Topology: Resources for Beginners
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How does a hemisphere differ from a disk?
  • · Replies 13 ·
Replies
13
Views
4K
Graduate Help deriving Lagrange's Formula with the levi-civita symbol
  • · Replies 4 ·
Replies
4
Views
7K
Graduate Vectors As Geometric Objects And Reciprocal Basis?
  • · Replies 6 ·
Replies
6
Views
10K
Graduate Compatible Metrics: A Heuristic Definition
  • · Replies 7 ·
Replies
7
Views
7K
Graduate Can One-Dimensional Spaces Exhibit Intrinsic Curvature?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Learn Hyperbolic Geometry: Why & How Does Parallelism Work?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Example of a non-integrable function f , such that |f| and f^2 are integrable?
  • · Replies 5 ·
Replies
5
Views
8K
Graduate Differential Geometry. Honours 1996
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Basic question regarding continuous inverses
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Injectivity and Surjectivity in Function Compositions
  • · Replies 1 ·
Replies
1
Views
3K
Graduate What is the relationship between f-1(f(A0)) and A0 in terms of injectivity?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Arclength on a PseudoRiemann Manifold
  • · Replies 4 ·
Replies
4
Views
2K
High School Why is P(A) called the power set of A?
  • · Replies 1 ·
Replies
1
Views
3K
High School Deceiving Simple Geometry Question
  • · Replies 4 ·
Replies
4
Views
5K
Graduate How to say a given space is a manifold?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Can sets be bounded by infinity?
  • · Replies 1 ·
Replies
1
Views
5K
Graduate Can I show that its jacobian is nonsingular at the origin?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Exterior derivatives on fibre bundles
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Trivial topology on an arbitrary set?
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Differential Geometry: Finding Integral Manifolds
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Geometrical Proof for Euclidian Triangle Circle Property
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Construction of the Tensor Product
  • · Replies 4 ·
Replies
4
Views
4K
Graduate Simplifying a tensor expression
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Explaining Conformal Killing Spinors
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Sphere, torus, degree, cohomology
  • · Replies 7 ·
Replies
7
Views
10K
Graduate Writing a story about a college math student
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Prerequisites for Differential Geometry
  • · Replies 29 ·
Replies
29
Views
42K
Graduate Closed subset (with respect to weak topology)?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Differentiation on Smooth Manifolds without Metric
  • · Replies 21 ·
Replies
21
Views
7K
Graduate What Does Connected Really Mean in Different Mathematical Contexts?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Discover the Result of C \nabla as Any Constant in This Comprehensive Guide
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Problem with Ricci tensor formula I cannot prove
  • · Replies 4 ·
Replies
4
Views
4K
Graduate Surface integral with differential forms
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Stereographic Projection for general surfaces
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Homeomorphism of the projective n-space
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Divergence defined from volume element
  • · Replies 9 ·
Replies
9
Views
5K
Graduate Is there a standard for the definition of the wedge product?
  • · Replies 9 ·
Replies
9
Views
7K
Graduate Coordinate transformations Spherical to Cartesian
  • · Replies 5 ·
Replies
5
Views
14K
Undergrad What geometric applications do prime numbers have?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Couple of questions on linear geometry
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Christofle symbol and determinant of metric tensor
  • · Replies 3 ·
Replies
3
Views
9K
Graduate Find Solutions for A Comprehensive Introduction to Differential Geometry
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Covariant derivative repect to connection?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Discrete math - equivalence relation
  • · Replies 4 ·
Replies
4
Views
6K
Graduate Preserving Orientation in Spheres?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Interection of a plane and a 3D curve
  • · Replies 7 ·
Replies
7
Views
3K
Graduate What is the significance of μ in oblate spheroidal coordinates?
  • · Replies 6 ·
Replies
6
Views
5K
Graduate I have a conjecture/ possibly already a theorem
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Rotating a circle around its x-axis
  • · Replies 5 ·
Replies
5
Views
19K
Graduate Measures and alternating multilinear forms
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Plotting the Parabolic Curve for a Given Equation
  • · Replies 2 ·
Replies
2
Views
6K
Graduate Question about Milnor's topology fromthe diffable viewpoint
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Differential Geom: Showing Hyperbolic Circle from Euclidean Circle
  • · Replies 2 ·
Replies
2
Views
3K
Graduate What is the relationship between boundedness and total boundedness in R^n?
  • · Replies 7 ·
Replies
7
Views
6K
Undergrad Question on a simple geometry subject.
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Co-ordinate Geometry: Circle Problem
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Defining scalar product from norm
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Geodesic Triangle: Calculating Area on a Sphere
  • · Replies 1 ·
Replies
1
Views
5K
Graduate Genericity of Uniquness of a Solution to a System with Non-Linear Equations
  • · Replies 2 ·
Replies
2
Views
3K
Graduate What is Holomorphic factorization?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate What is the proof that great circles are the only geodesics on a sphere?
  • · Replies 2 ·
Replies
2
Views
8K
High School Help Find C(x,y) for Triangle A(0,0) AB=4 BC=3 AC=5
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Inner product computations on manifolds
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Let X be a topological space and let Y be a metric space
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Finding the co-ordinates of the points on a triangle
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Lexicographic Square, topology
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Dot, Scalar, Inner Product Question
  • · Replies 12 ·
Replies
12
Views
5K
Undergrad Problems understanding headings for 3d rays
  • · Replies 17 ·
Replies
17
Views
4K
Undergrad Does the Axis of a Cone Cross Through a Focus of an Ellipse?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Discrete topology, product topology
  • · Replies 5 ·
Replies
5
Views
6K