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 Understanding Riemann Surfaces in Complex Analysis

  • unchained1978
  • · Replies 2 ·
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2

Graduate Can Seven Vertices of a 19-Gon Form a Trapezoid Using the Pigeonhole Principle?

  • Numeriprimi
  • · Replies 4 ·
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4

Graduate How To define charts and atlases

  • saminator910
  • · Replies 15 ·
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15

High School Why are polygons typically triangulated in computer graphics?

  • Synthetix
  • · Replies 7 ·
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7

Graduate A Question about de Rham's Theorem

  • lavinia
  • · Replies 6 ·
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6

Graduate Example of cover (of a set) having finite sub-covers in collection.

  • experimentX
  • · Replies 9 ·
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9

Graduate Showing the Fundamental Group of S^1 is isomorphic to the integers

  • trmukerji14
  • · Replies 4 ·
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4

Graduate Invariant Tensors and Lorentz Transformation

  • Heirot
  • · Replies 2 ·
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2

Graduate Confusion about Christoffel Symbols

  • tensor33
  • · Replies 7 ·
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7

High School What is the geometric property of these 2 angles being equal?

  • Lebombo
  • · Replies 2 ·
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2

Graduate How Does Holonomy Relate to Curvature in Higher Dimensional Principal Bundles?

  • lavinia
  • · Replies 1 ·
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1

Graduate Distance-preserving maps are compositions of rotations and translations

  • Fredrik
  • · Replies 5 ·
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5

Graduate How Do I Translate These French Math Terms?

  • Bacle2
  • · Replies 7 ·
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7

Graduate Is There a Positive Constant for a Polynomial Inequality with Two Variables?

  • hedipaldi
  • · Replies 7 ·
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7

Graduate Embedding of the join of P3 and C4

  • Solarmew
  • · Replies 1 ·
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1

Graduate What Mathematical Expression Describes a Cone with a Flat Tip?

  • sunone
  • · Replies 9 ·
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9

Undergrad Broken Geometry (Cylindar) Fit Inside a Box

  • Badger33
  • · Replies 1 ·
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1

Graduate Fundamental Group of the Torus-Figure 8

  • sammycaps
  • · Replies 3 ·
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3

Graduate How Do Projective and Affine Varieties Relate in P^n?

  • hlfmanhoffdor
  • · Replies 2 ·
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2

Graduate Cutting a hole in the projective plane

  • Identity
  • · Replies 5 ·
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5

High School I have got next interesting geometry example :-)I have got regular

  • Numeriprimi
  • · Replies 1 ·
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1

Graduate What is the Asymptotic Volume Fraction of Randomly Distributed Spheres in a Box?

  • clamtrox
  • · Replies 1 ·
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1

Graduate A question about multiresolution analysis (from a topological point of view)

  • Lajka
  • · Replies 2 ·
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2

Undergrad Flatland on a sphere.Find the radius

  • Storm Butler
  • · Replies 8 ·
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8

Graduate Calculate the arc length between two points over a hyper-sphere

  • 7toni7
  • · Replies 10 ·
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10

Graduate Intersection point between n-vector and n-sphere

  • 7toni7
  • · Replies 3 ·
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3

Graduate What Are the Practical Applications of the Fourth Dimension in Analysis?

  • JaredPM
  • · Replies 2 ·
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2

Graduate How to use a 4x4 Matrix to translate a point in 3D space

  • STENDEC
  • · Replies 2 ·
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2

Two circles intersecting, a lot of lines.

  • caffeinemachine
  • · Replies 8 ·
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8

Graduate Question on Jacobian determinant

  • mnb96
  • · Replies 5 ·
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5

Graduate Is there a vector version of The Elements?

  • Bipolarity
  • · Replies 7 ·
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7

Undergrad Can a Flatlander See More Than 2 Sides of a Cube at Once?

  • onlymepa
  • · Replies 1 ·
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1

Undergrad Circles on XY, YZ and XZ planes from a Sphere

  • sijad
  • · Replies 4 ·
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4

Graduate Does there exist a pair of interesecting lines that arent coplanar

  • Bipolarity
  • · Replies 13 ·
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13

Graduate Question on Jacobian with function composition and inverse functions

  • mnb96
  • · Replies 7 ·
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7

Graduate Power Series for Volume of Balls in Riemannian Manifold

  • tornado28
  • · Replies 3 ·
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3

Graduate Understanding the Trefoil Knot and Its Function on a Torus

  • sammycaps
  • · Replies 5 ·
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5

Graduate What is the largest n dimensional box that can fit inside a sphere?

  • rylz
  • · Replies 1 ·
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1

Graduate How Is U(n) Embedded in O(2n) as a Subgroup?

  • timb00
  • · Replies 3 ·
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3

Graduate Real life engineering problem I or guidance

  • nickatkins
  • · Replies 3 ·
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3

Undergrad Deriving the equation of a tangent plane

  • autodidude
  • · Replies 3 ·
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3

Graduate Charts of a torus (and other manifolds)

  • mcafej
  • · Replies 3 ·
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3

Undergrad Equation to graph a 180 degree curve comprised of a radius and an ellipse

  • JimEd
  • · Replies 8 ·
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8

Graduate How change from one to another coordinate system

  • soks
  • · Replies 4 ·
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4

Graduate Orientation Forms in Different Codimension.

  • WWGD
  • · Replies 7 ·
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7

Graduate Mapping Torus of a Manifold is a Manifold.

  • WWGD
  • · Replies 7 ·
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7

Graduate The connection as a choice of horizontal subspace?

  • ...?
  • · Replies 2 ·
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2

Graduate Deriving the equation of points for exact fitting and shape analysis

  • giusyvenezia
  • · Replies 3 ·
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3

Graduate Archemedian Spiral Flight Path: Calculating Arc Length & Equations

  • rhimmelblau
  • · Replies 2 ·
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2

Graduate Inner product of rank 2 tensor and a vector

  • abluphoton
  • · Replies 1 ·
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1

Graduate What Matrix Transformation Projects a 3D Planar Shape onto the XY Plane?

  • weetabixharry
  • · Replies 2 ·
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2

Graduate Algorithm for testing intersection of point and compound polygon

  • Physt
  • · Replies 3 ·
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3

Reflecting Ray from Concave Mirror: Parabola Focus

  • sbhatnagar
  • · Replies 2 ·
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2

Graduate Generalizing the Hairy Ball Thorem - Higher Dimensions and Higher-Order Tensors

  • lpetrich
  • · Replies 8 ·
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8

Graduate How to design algebraic function with particular ramified covering?

  • jackmell
  • · Replies 1 ·
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1

Graduate Inspiration help on nullstellensatz

  • FireSquirrel
  • · Replies 1 ·
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1

Graduate More on Diff. Forms and Distributions as Kernels

  • WWGD
  • · Replies 11 ·
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11

Graduate Using Forms to Define Orientation of Curves.

  • WWGD
  • · Replies 8 ·
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8

Graduate Calculating the intersection of a branching point

  • MattRNR
  • · Replies 1 ·
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1

Undergrad Point at which a line intersects a plane

  • sparkzbarca
  • · Replies 1 ·
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1

Undergrad Max Area of 2 Circles in Square of Side 1

  • rudolfstr
  • · Replies 2 ·
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2

Undergrad The length of an uncoiled spring

  • lntz
  • · Replies 3 ·
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3

Graduate Covector fields - did I get them wrong?

  • Kontilera
  • · Replies 6 ·
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6

Graduate Geometric interpretation of metric tensor

  • mnb96
  • · Replies 12 ·
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12

Graduate Understanding displacements of points by interpreting directions

  • onako
  • · Replies 3 ·
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3

Graduate Kernels, and Representations of Diff. Forms.

  • WWGD
  • · Replies 1 ·
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1

Undergrad Interpretation on the meaning of some graph theory statements

  • Ceci020
  • · Replies 1 ·
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1

Graduate Looking for a Theorem of Continuous Functions

  • sammycaps
  • · Replies 10 ·
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10

Graduate Sobolev class of loops to a compact lie Group

  • Kreizhn
  • · Replies 3 ·
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3

Graduate Understanding 1/2 of Van Kampen's Theorem

  • sammycaps
  • · Replies 4 ·
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4

Graduate Hyperbolic Paraboloid and Isometry

  • BrainHurts
  • · Replies 2 ·
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2

Graduate Riemannian connection basic question about computing

  • samithie
  • · Replies 2 ·
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2

Graduate Proving the Containment Property of Polar Cones for Sets in R^n

  • avilaca
  • · Replies 5 ·
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5

Graduate Scalar product in spherical coordinates

  • batboio
  • · Replies 3 ·
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3

Graduate Scalar fields/ Scalar functions / Vector fields / Vector functions

  • K41
  • · Replies 4 ·
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4

Graduate Finding straight line distance between an ellipsoid and a point

  • Shadowsteps
  • · Replies 4 ·
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4

Spherical Harmonics easy question

  • Dustinsfl
  • · Replies 1 ·
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1

Undergrad Calculating Material Used in a Cylinder of given Thickness

  • you878
  • · Replies 1 ·
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1

Graduate Sufficient condition for global flatness

  • tom.stoer
  • · Replies 5 ·
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5

Graduate Weighted average of arbitrary k points from a line

  • onako
  • · Replies 6 ·
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6

Graduate Differential Geomtery. Find the vertices the equation

  • ocho
  • · Replies 2 ·
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2

Graduate Can You Prove the Inequality in Triangles with Arbitrary Points?

  • James4
  • · Replies 7 ·
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7

Graduate Prove that for any graph G, the connectivity is less that the minimum degree

  • sunnyceej
  • · Replies 3 ·
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3

Graduate Confirm Mistake in Nakahara's Geometry, Topology, Physics

  • Bballer152
  • · Replies 3 ·
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3

Graduate Measure of the Sharpness of a curve

  • Bavid
  • · Replies 6 ·
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6

Undergrad Find 3D point along the line at given distance

  • catalin.drago
  • · Replies 11 ·
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11

Compute the downwards flux of F

  • Uniman
  • · Replies 1 ·
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1

Graduate What is a Liouville Isomorphism in the Context of Symplectization?

  • Kreizhn
  • · Replies 1 ·
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1

Undergrad Finding the points of intersection of two ellipses

  • Physt
  • · Replies 1 ·
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1

Graduate Problem expanding algebraic function via Newton polygon

  • jackmell
  • · Replies 5 ·
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5

High School Questions relating to asymptotes

  • MegaDeth
  • · Replies 1 ·
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1

Graduate Algebraic Topology: Connected Sum & Reference Help

  • julypraise
  • · Replies 5 ·
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5

Graduate Solenoidal and conservative fields

  • TrickyDicky
  • · Replies 91 ·
4
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91

Graduate Does an Orthonormal Frame Exist on a Surface with a Riemannian Metric?

  • semigroups
  • · Replies 2 ·
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2

Graduate Genus of aribtrary algebraic function

  • jackmell
  • · Replies 6 ·
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6

Undergrad Calculate the Normal vector to an Ellipse

  • Philosophaie
  • · Replies 15 ·
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15

Graduate The area form of a Riemannian surface

  • semigroups
  • · Replies 4 ·
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4

Undergrad FInding the area of pentagon (on x,y,z axis) using trinagles?

  • rbec_campbell
  • · Replies 1 ·
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1

Graduate How to Determine the Minor Axis of an Ellipse from Given Points?

  • Physt
  • · Replies 4 ·
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4

Graduate Confused as to what constitutes a manifold?

  • saminator910
  • · Replies 24 ·
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24