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

Undergrad Does the Axis of a Cone Cross Through a Focus of an Ellipse?

  • TheFerruccio
  • · Replies 3 ·
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3

Graduate Discrete topology, product topology

  • mathsss2
  • · Replies 5 ·
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5

Graduate Constructible sets contain a dense open subset of their closure

  • Hello Kitty
  • · Replies 6 ·
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6

Undergrad How Many Points Can Be Observed Simultaneously on a Sphere?

  • Loren Booda
  • · Replies 1 ·
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1

How long would it take to read euclid's elements?

  • khemix
  • · Replies 6 ·
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6

Find Coordinates of a Point: Angle, Distance & 1st Pt

  • gistech123
  • · Replies 3 ·
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3

Graduate How Do We Show Integral Unity of Transformed Functions?

  • hnh
  • · Replies 2 ·
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2

Graduate Prove S is Convex: Help with Convexity

  • Shaad
  • · Replies 1 ·
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1

Undergrad How is the Mandelbrot set plotted and how are the color values determined?

  • rohanprabhu
  • · Replies 4 ·
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4

Undergrad Creating a sphere from a spline curve

  • SilverTiger
  • · Replies 1 ·
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1

Graduate Finding the Radius of Curvature for a Helix: What is the Formula?

  • Jonny_trigonometry
  • · Replies 9 ·
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9

Graduate Geodesic Curves Covering Surfaces

  • maze
  • · Replies 36 ·
2
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36

Graduate Employment areas with PhD in Pure Maths?

  • pp31
  • · Replies 3 ·
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3

Undergrad Triangular Obelisk: Calculate Angle & Height

  • markmdesigns
  • · Replies 2 ·
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2

Graduate Proving Sequential Compactness for Metric Spaces: Tips and Tricks

  • Ja4Coltrane
  • · Replies 2 ·
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2

Graduate How to Prove Incompleteness and Completion in Metric Spaces?

  • GreenBeret
  • · Replies 2 ·
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2

Graduate Tensor question about Hypersurfaces

  • hamjam9
  • · Replies 1 ·
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1

Graduate De Rham Theorem: Homotopy & Line Integrals Explained

  • fisico30
  • · Replies 1 ·
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1

Graduate SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)

  • memomath
  • · Replies 1 ·
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1

Graduate Dyadic Product and Index of Refraction

  • Manuel_Silvio
  • · Replies 4 ·
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4

Graduate How Do Riemannian Connections Work on Non-Flat Manifolds?

  • WWGD
  • · Replies 4 ·
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4

Graduate How does a fibre bundle differ from base space X typical fibre?

  • pellman
  • · Replies 8 ·
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8

Undergrad What is parametrization of a function with more than one parameter?

  • soandos
  • · Replies 21 ·
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21

Graduate Accumulated rotation over time

  • DanielKO
  • · Replies 7 ·
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7

Graduate Applied geometry: symmetry within a 3D volume

  • DaveC426913
  • · Replies 3 ·
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3

Graduate S^n not a mapping cylinder. S^n and homeom. subspaces

  • WWGD
  • · Replies 0 ·
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0

Graduate Taking the Trace of a Tensor Product

  • JasonJo
  • · Replies 8 ·
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8

Graduate Transformations involving singular points

  • SW VandeCarr
  • · Replies 2 ·
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2

Undergrad Create plane from 3 points and distance from plane to point

  • Mar10n
  • · Replies 5 ·
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5

Graduate Circles in Non-Euclidean Geometry

  • ƒ(x)
  • · Replies 5 ·
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5

Graduate Simple question about definition of tangent bundle

  • pellman
  • · Replies 4 ·
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4

Graduate Sample Topological Spaces: X,t,G,F

  • cothranaimeel
  • · Replies 1 ·
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1

High School What's the Next Step After Plane Geometry in High School?

  • khemix
  • · Replies 5 ·
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5

Undergrad Tensor Product Explained: Best Elementary Tensor Algebra Books

  • SeReNiTy
  • · Replies 14 ·
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14

Graduate A problem about integral curves on a manifold

  • quasar987
  • · Replies 1 ·
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1

Graduate What Defines a One-Form in Multivariable Calculus and Differential Geometry?

  • pellman
  • · Replies 4 ·
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4

Graduate Connection between Lie-Brackets an Embeddings

  • ruwn
  • · Replies 1 ·
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1

Undergrad What Are the Best Books to Learn About Fractals?

  • NoSolution
  • · Replies 3 ·
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3

Graduate What Is the Usual Metric on the Sphere That do Carmo Doesn't Mention?

  • InbredDummy
  • · Replies 2 ·
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2

Graduate Representations of the lorentz group

  • bartadam
  • · Replies 6 ·
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6

Graduate Sphere Radius = 1 centered at origin

  • Philosophaie
  • · Replies 3 ·
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3

Graduate The topology of rational numbers: connected sets

  • alligatorman
  • · Replies 2 ·
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2

Graduate Is K Open or Closed? A Topology GRE Question

  • ralphhumacho
  • · Replies 12 ·
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12

Graduate Distance between polygons in 3d? (points of contact as a function of time)

  • Requerent
  • · Replies 4 ·
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4

Undergrad How to Convert Spherical Coordinates to Cartesian Coordinates in an Equation?

  • Philosophaie
  • · Replies 1 ·
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1

Undergrad What Is the Equation of a Sphere in Spherical Coordinates?

  • Philosophaie
  • · Replies 1 ·
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1

Graduate How to Rotate a Vector in Different Coordinate Spaces?

  • ronslow
  • · Replies 2 ·
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2

Graduate Partitions of unity: support of a function

  • xaos
  • · Replies 2 ·
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2

Undergrad Can I study topology without taking multivariable calculus?

  • Gramsci
  • · Replies 10 ·
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10

Graduate Tensor Indices Switch with Infinitesimals and Space-Time Derivatives

  • waht
  • · Replies 2 ·
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2

Graduate Why does stereographic projection preserve angles but not area?

  • dori1123
  • · Replies 1 ·
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1

Undergrad Hello How to prove the min function is continuous?

  • simpleeyelid
  • · Replies 3 ·
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3

Graduate Differential geometry in quantum mechanics - conserved quantities

  • quasar_4
  • · Replies 1 ·
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1

Graduate Help with a special kind of Torus

  • ejhong
  • · Replies 1 ·
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1

Graduate How Do Completely Regular Hausdorff Spaces Relate to Compact Hausdorff Spaces?

  • aliceinwonder
  • · Replies 3 ·
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3

Graduate How does one calculate the distance (or length) on the ground

  • Pollock
  • · Replies 3 ·
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3

Undergrad Area between two eccentric circles

  • agordon
  • · Replies 1 ·
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1

Graduate Proving \alpha^i = v x^i on tangent vector space T_pM"

  • QuarkHead
  • · Replies 4 ·
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4

Undergrad Why is noise always assumed to be Gaussian in noise-based applications?

  • csaspp
  • · Replies 6 ·
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6

Graduate Area section of a sphere used for integration?

  • xerxes73
  • · Replies 1 ·
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1

Graduate Understanding the Degree of a Continuous Map g:Circle --> Circle

  • jimisrv
  • · Replies 1 ·
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1

Graduate What are the real-world implications of tangent vectors to a manifold?

  • Goldbeetle
  • · Replies 32 ·
2
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32

Graduate Something I read somewhere about Spin manifolds, I don't remember where?

  • Jim Kata
  • · Replies 1 ·
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1

Graduate Elementary questions about fibre bundles

  • haushofer
  • · Replies 5 ·
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5

Graduate Space filling curves: two and a half questions

  • Bob3141592
  • · Replies 2 ·
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2

High School How can a highschool student study the nonuclidean geometry himself ?

  • ahoura
  • · Replies 5 ·
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5

Graduate Projective Space: CP1, Homeomorphism to 2-Sphere?

  • Thorn
  • · Replies 1 ·
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1

Undergrad Signed angle between two 3D vectors

  • cakeathon
  • · Replies 5 ·
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5

Graduate How Do Tensor and Wedge Products Relate in Differential Geometry?

  • cristo
  • · Replies 32 ·
2
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32

Graduate A question of the complete metric space

  • simpleeyelid
  • · Replies 4 ·
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4

High School Do trapezium angles have to equal 360 degrees?

  • vmgk
  • · Replies 6 ·
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6

Graduate Short question about Laplacians

  • haushofer
  • · Replies 2 ·
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2

Graduate What Is the Easiest Topology Textbook?

  • Unassuming
  • · Replies 3 ·
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3

Graduate Why is the cusp not a submanifold?

  • quasar987
  • · Replies 7 ·
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7

Graduate Topological transform of singular points?

  • SW VandeCarr
  • · Replies 1 ·
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1

Undergrad Is Differential Geometry a Fun and Essential Subject for Theoretical Physics?

  • Ulagatin
  • · Replies 13 ·
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13

Graduate Ricci-Tensor from Riemann in higher dimensional flat space

  • wildemar
  • · Replies 4 ·
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4

Undergrad How Do You Perform a 90 Degree Rotation of a Complex Number Around a Point?

  • chaotixmonjuish
  • · Replies 8 ·
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8

High School Proving Congruence of Line AE and BD

  • Taylorrr8394
  • · Replies 5 ·
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5

Graduate Banach Space that is NOT Hilbert

  • Old Guy
  • · Replies 11 ·
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11

Graduate Another implememntation of van Kampen thoerem.

  • MathematicalPhysicist
  • · Replies 1 ·
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1

High School Prove Exterior Angle Bisector Property in Triangle ABC & Point D

  • Chemistry101
  • · Replies 1 ·
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1

Graduate Proving C(X) is a Banach Space for Compact Hausdorff X

  • jostpuur
  • · Replies 6 ·
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6

Graduate Can Trilateration Determine the Angle in a Dynamic Circle Problem?

  • lzh
  • · Replies 2 ·
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2

Graduate Proving Simple Connectedness: Intersection and Union of Two Spaces

  • MathematicalPhysicist
  • · Replies 9 ·
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9

Graduate Nontriviality of the Möbius bundle without orientability

  • quasar987
  • · Replies 2 ·
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2

Graduate What is the relationship between open and dense sets in R^n?

  • MathematicalPhysicist
  • · Replies 7 ·
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7

Graduate Is the product of two open sets open?

  • Thorn
  • · Replies 1 ·
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1

Graduate Where did the error occur in calculating the Lie derivative using an example?

  • jostpuur
  • · Replies 2 ·
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2

Undergrad Questions regarding function operations on sets.

  • Esran
  • · Replies 2 ·
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2

Graduate Connected components of a manifold

  • quasar987
  • · Replies 3 ·
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3

Undergrad Finding Irreducible Basic Fractions with Denominator n

  • s_chaursia
  • · Replies 2 ·
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2

Graduate Action of Clifford-elements on vectors & spinors

  • blue2script
  • · Replies 1 ·
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1

Undergrad Calculate Smallest Bounding Rectangle Area - Cartesian Coordinates Program

  • s_chaursia
  • · Replies 1 ·
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1

High School Solving Hari Prasad Misra's Staircase Problem with Max 2 Steps

  • s_chaursia
  • · Replies 1 ·
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1

Graduate How Do Torsion Concepts Differ in Algebra and Differential Geometry?

  • navigator
  • · Replies 1 ·
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1

Graduate What are the 'closed geodesic' ?

  • mhill
  • · Replies 6 ·
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6

Undergrad Get Polygon Side Length From Radius

  • therealdrag0
  • · Replies 2 ·
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2

Graduate What Are Differential Forms and How Do They Apply in Differential Geometry?

  • lethe
  • · Replies 120 ·
5
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120

Undergrad Volume of cylinder with a 45 degree branch

  • j.laland
  • · Replies 1 ·
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1