Differential Geometry Forum

Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.

Threads

Graduate Is C^n Homeomorphic to C^n/S_n in Polynomial Root Mapping?

  • lark
  • · Replies 3 ·
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3

Graduate Convex Subsets of Topological Vector Spaces

  • Edwin
  • · Replies 2 ·
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2

Graduate Can a contour integral be used to detect complex polygon deformations?

  • james_1138
  • · Replies 5 ·
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5

Graduate Proving Topology Continuity for F: X x Y -> Z in Separate Variables

  • tomboi03
  • · Replies 1 ·
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1

Graduate What Are Stiefel-Whitney Homology Classes?

  • wofsy
  • · Replies 6 ·
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6

Graduate Can General Relativity and Curved Spaces Be Described in Complex Coordinates?

  • Dmitry67
  • · Replies 3 ·
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3

Graduate Can the Universe have a positive curvature everywhere and still be infinite?

  • Dmitry67
  • · Replies 12 ·
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12

Graduate Christoffel symbols and tensor analysis

  • Marin
  • · Replies 5 ·
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5

Graduate Constructing Mono/Epi Functions for Algebraic Topology

  • Tchakra
  • · Replies 4 ·
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4

Graduate Localizing a point in a circle by 2 points on the circumference

  • fenpark15
  • · Replies 1 ·
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1

Graduate Find Eccentricity of Conic Passing Through Origin with Focii (5,12) and (24,7)

  • hellboydvd
  • · Replies 2 ·
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2

Graduate Betti Numbers: Understanding the Topology of Spaces

  • realanony87
  • · Replies 10 ·
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10

Graduate Three things I don't get about CW-complexes

  • quasar987
  • · Replies 1 ·
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1

Graduate Is the Closure of a Subset Always in the Union of Neighborhoods?

  • tomboi03
  • · Replies 3 ·
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3

Graduate Curl of a vector in a NON-orthogonal curvilinear coordinate system

  • MasterD
  • · Replies 4 ·
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4

Graduate What are examples of cellular decomposition?

  • quasar987
  • · Replies 2 ·
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2

Graduate How to show completeness of C(K)?

  • minibear
  • · Replies 1 ·
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1

Graduate Is C([0,1]) a Topological Vector Space?

  • dori1123
  • · Replies 6 ·
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6

Graduate Difference Between Subbasis and Basis in Topology

  • tomboi03
  • · Replies 2 ·
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2

Undergrad So... how do I find the area of a circle segment without knowing the angle?

  • ladil123
  • · Replies 3 ·
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3

Graduate Intro to Diff. Geom. PLEASE COMMENT.

  • mordechai9
  • · Replies 13 ·
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13

Graduate Proving Openness of $\pi_1$ and $\pi_2$ Maps

  • tomboi03
  • · Replies 2 ·
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2

Graduate Mathematics descriptions of objects not found in the real world

  • pentazoid
  • · Replies 4 ·
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4

Graduate Proving the Countable Collection is a Basis for R2 using Definition of a Basis

  • tomboi03
  • · Replies 2 ·
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2

Graduate How Do Subspace Topologies Compare When One is Finer?

  • tomboi03
  • · Replies 1 ·
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1

Graduate Subspace vs Subset: Inheritance of Topology

  • tomboi03
  • · Replies 1 ·
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1

Graduate Comparing Topologies: Rl and Rk vs. Standard Topology

  • tomboi03
  • · Replies 1 ·
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1

High School Can the sum of angles of a planar triangle be greater than 180?

  • hermy
  • · Replies 1 ·
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1

Graduate How Are Tensors Represented and Why Are Their Notations Significant?

  • BWV
  • · Replies 2 ·
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2

Graduate Basic Alg. Geometry: Nodal Singularities. Attn Wonk.

  • WWGD
  • · Replies 0 ·
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0

Undergrad Cylinder: Ratio Volume/Surface Area

  • LURCH
  • · Replies 1 ·
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1

Graduate Introduction to Topology: Resources for Beginners

  • math108
  • · Replies 1 ·
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1

Graduate How does a hemisphere differ from a disk?

  • pellman
  • · Replies 13 ·
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13

Graduate Help deriving Lagrange's Formula with the levi-civita symbol

  • radonballoon
  • · Replies 4 ·
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4

Graduate Vectors As Geometric Objects And Reciprocal Basis?

  • ShreddedWheat
  • · Replies 6 ·
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6

Graduate Compatible Metrics: A Heuristic Definition

  • quasar_4
  • · Replies 7 ·
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7

Graduate Can One-Dimensional Spaces Exhibit Intrinsic Curvature?

  • matheinste
  • · Replies 4 ·
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4

Graduate Learn Hyperbolic Geometry: Why & How Does Parallelism Work?

  • kexue
  • · Replies 3 ·
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3

Graduate Example of a non-integrable function f , such that |f| and f^2 are integrable?

  • irresistible
  • · Replies 5 ·
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5

Graduate Differential Geometry. Honours 1996

  • malawi_glenn
  • · Replies 4 ·
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4

Undergrad Basic question regarding continuous inverses

  • TaylorWatts
  • · Replies 1 ·
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1

Graduate Injectivity and Surjectivity in Function Compositions

  • tomboi03
  • · Replies 1 ·
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1

Graduate What is the relationship between f-1(f(A0)) and A0 in terms of injectivity?

  • tomboi03
  • · Replies 1 ·
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1

Graduate Arclength on a PseudoRiemann Manifold

  • Tac-Tics
  • · Replies 4 ·
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4

High School Why is P(A) called the power set of A?

  • tomboi03
  • · Replies 1 ·
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1

High School Deceiving Simple Geometry Question

  • hobbes33
  • · Replies 4 ·
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4

Graduate How to say a given space is a manifold?

  • guhan
  • · Replies 4 ·
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4

Undergrad Can sets be bounded by infinity?

  • Magenta
  • · Replies 1 ·
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1

Graduate Can I show that its jacobian is nonsingular at the origin?

  • mby110
  • · Replies 1 ·
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1

Graduate Exterior derivatives on fibre bundles

  • haushofer
  • · Replies 1 ·
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1

Graduate Trivial topology on an arbitrary set?

  • muppet
  • · Replies 11 ·
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11

Graduate Differential Geometry: Finding Integral Manifolds

  • Sephi
  • · Replies 2 ·
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2

Undergrad Geometrical Proof for Euclidian Triangle Circle Property

  • Phrak
  • · Replies 6 ·
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6

Graduate Construction of the Tensor Product

  • Tac-Tics
  • · Replies 4 ·
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4

Graduate Simplifying a tensor expression

  • raju_krec
  • · Replies 1 ·
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1

Graduate Explaining Conformal Killing Spinors

  • StatusX
  • · Replies 1 ·
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1

Graduate Sphere, torus, degree, cohomology

  • quasar987
  • · Replies 7 ·
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7

Graduate Writing a story about a college math student

  • Jared1
  • · Replies 4 ·
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4

Graduate Prerequisites for Differential Geometry

  • hangman1414
  • · Replies 29 ·
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29

Graduate Closed subset (with respect to weak topology)?

  • HMY
  • · Replies 2 ·
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2

Graduate Differentiation on Smooth Manifolds without Metric

  • dx
  • · Replies 21 ·
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21

Graduate What Does Connected Really Mean in Different Mathematical Contexts?

  • CMoore
  • · Replies 6 ·
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6

Graduate Discover the Result of C \nabla as Any Constant in This Comprehensive Guide

  • AbuYusufEg
  • · Replies 2 ·
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2

Graduate Problem with Ricci tensor formula I cannot prove

  • noomz
  • · Replies 4 ·
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4

Graduate Surface integral with differential forms

  • gts87
  • · Replies 1 ·
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1

Graduate Stereographic Projection for general surfaces

  • Deltinu
  • · Replies 1 ·
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1

Graduate Homeomorphism of the projective n-space

  • InvisibleBlue
  • · Replies 1 ·
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1

Graduate Divergence defined from volume element

  • Fredrik
  • · Replies 9 ·
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9

Graduate Is there a standard for the definition of the wedge product?

  • pellman
  • · Replies 9 ·
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9

Graduate Coordinate transformations Spherical to Cartesian

  • gaganaut
  • · Replies 5 ·
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5

Undergrad What geometric applications do prime numbers have?

  • Loren Booda
  • · Replies 3 ·
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3

Undergrad Couple of questions on linear geometry

  • MadmanMurray
  • · Replies 1 ·
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1

Graduate Christofle symbol and determinant of metric tensor

  • off-diagonal
  • · Replies 3 ·
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3

Graduate Find Solutions for A Comprehensive Introduction to Differential Geometry

  • ForMyThunder
  • · Replies 2 ·
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2

Graduate Covariant derivative repect to connection?

  • noomz
  • · Replies 3 ·
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3

Graduate Discrete math - equivalence relation

  • tukilala
  • · Replies 4 ·
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4

Graduate Preserving Orientation in Spheres?

  • MathematicalPhysicist
  • · Replies 5 ·
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5

Undergrad Interection of a plane and a 3D curve

  • soandos
  • · Replies 7 ·
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7

Graduate What is the significance of μ in oblate spheroidal coordinates?

  • tony873004
  • · Replies 6 ·
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6

Graduate I have a conjecture/ possibly already a theorem

  • Jim Kata
  • · Replies 2 ·
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2

Undergrad Rotating a circle around its x-axis

  • kalisky
  • · Replies 5 ·
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5

Graduate Measures and alternating multilinear forms

  • mma
  • · Replies 11 ·
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11

Undergrad Plotting the Parabolic Curve for a Given Equation

  • skaboy607
  • · Replies 2 ·
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2

Graduate Question about Milnor's topology fromthe diffable viewpoint

  • quasar987
  • · Replies 1 ·
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1

Graduate Differential Geom: Showing Hyperbolic Circle from Euclidean Circle

  • dori1123
  • · Replies 2 ·
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2

Graduate What is the relationship between boundedness and total boundedness in R^n?

  • HeraclitusJ
  • · Replies 7 ·
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7

Undergrad Question on a simple geometry subject.

  • El barto
  • · Replies 5 ·
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5

Undergrad Co-ordinate Geometry: Circle Problem

  • ad_bose
  • · Replies 4 ·
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4

Graduate Defining scalar product from norm

  • mma
  • · Replies 5 ·
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5

Graduate Geodesic Triangle: Calculating Area on a Sphere

  • dori1123
  • · Replies 1 ·
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1

Graduate Genericity of Uniquness of a Solution to a System with Non-Linear Equations

  • LeCactus
  • · Replies 2 ·
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2

Graduate What is Holomorphic factorization?

  • Jim Kata
  • · Replies 2 ·
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2

Graduate What is the proof that great circles are the only geodesics on a sphere?

  • dori1123
  • · Replies 2 ·
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2

High School Help Find C(x,y) for Triangle A(0,0) AB=4 BC=3 AC=5

  • tukilala
  • · Replies 3 ·
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3

Graduate Inner product computations on manifolds

  • FuzzyFungi
  • · Replies 1 ·
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1

Graduate Let X be a topological space and let Y be a metric space

  • seed21
  • · Replies 2 ·
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2

Undergrad Finding the co-ordinates of the points on a triangle

  • tyroiusrtmaon
  • · Replies 2 ·
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2

Graduate Lexicographic Square, topology

  • mathsss2
  • · Replies 8 ·
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8

Undergrad Dot, Scalar, Inner Product Question

  • Prologue
  • · Replies 12 ·
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12

Undergrad Problems understanding headings for 3d rays

  • cam875
  • · Replies 17 ·
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17