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 Vectors in Cartesian Cylindrical Spherical

  • ha9981
  • · Replies 3 ·
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3

Graduate Is Every Arbitrary Product of Compact Spaces Compact in Any Topology?

  • xaos
  • · Replies 1 ·
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1

Graduate Rotate a plane through its coefficients

  • TheDestroyer
  • · Replies 5 ·
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5

Graduate Simple Question on Homotopy Equiv. and Contractible Subspaces

  • Bacle
  • · Replies 12 ·
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12

Graduate How to show a mapping is a diffeomorphism

  • whattttt
  • · Replies 2 ·
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2

Undergrad Polygon Detection for Bay Selection and Vertical/Horizontal Line Drawing

  • svishal03
  • · Replies 11 ·
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11

Graduate Finite intersection of closed sets is not necessarily closed

  • CantorSet
  • · Replies 2 ·
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2

Graduate What is the Equation for Finding the Minimum Area of a Non-Euclidean Surface?

  • eljose
  • · Replies 9 ·
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9

Graduate Levi-Civita proofs for divergence of curls, etc

  • theuserman
  • · Replies 5 ·
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5

Graduate Minimal compactification of an infinite dimensional space

  • muppet
  • · Replies 7 ·
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7

Graduate Canonical orientation on level set submanifolds?

  • quasar987
  • · Replies 5 ·
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5

Graduate Help on Jacobian Matrix for Cartesian to Spherical

  • WannabeNewton
  • · Replies 1 ·
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1

Graduate How Can Triangulation and Trigonometry Help Revisit a Beloved Camping Spot?

  • Wimpels
  • · Replies 3 ·
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3

Graduate How Do Knots in 4-Manifolds Influence Homology Classes?

  • Bacle
  • · Replies 5 ·
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5

Undergrad Rotating Plane Point to xy Plane - CPtolemy

  • cptolemy
  • · Replies 1 ·
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1

Graduate Locally Euclidean and Topological Manifolds

  • elarson89
  • · Replies 1 ·
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1

Graduate Tychonoff theorem and Zorn's lemma

  • Fernsanz
  • · Replies 6 ·
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6

Undergrad Fish Cage Geometry: Finding Formula for a & b

  • weedannycool
  • · Replies 1 ·
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1

Graduate Piecewise-linear ball complexes: calculations with GAP

  • korepanov
  • · Replies 1 ·
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1

Where Is the Emphasis in Holonomy?

  • OB1
  • · Replies 2 ·
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2

Graduate Is there a 4D compact smooth manifold with specific properties?

  • lavinia
  • · Replies 8 ·
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8

Graduate Coordinate System: Rotating 2D & 3D Axes & Impact on Directed Cosines

  • paragchitnis
  • · Replies 2 ·
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2

Graduate Sequences and Nets: Does (1/n) Converge to [0,1]?

  • ForMyThunder
  • · Replies 3 ·
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3

Graduate Homotopy and orientation preserving

  • robforsub
  • · Replies 12 ·
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12

Graduate Mapping Class Group and Path-Component of Id.

  • Bacle
  • · Replies 5 ·
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5

Graduate Some questions relating topology and manifolds

  • Hymne
  • · Replies 3 ·
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3

Graduate Double application of Stokes' theorem to find the area of a simplex

  • norg012pp
  • · Replies 2 ·
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2

Graduate What is causing the discrepancy between the Hermite curve and the sine function?

  • arpace
  • · Replies 1 ·
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1

Graduate How does non-isotopic embeddings affect the homology of manifolds and knots?

  • Bacle
  • · Replies 1 ·
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1

Graduate Constructing Covering Spaces of a Sphere

  • mich0144
  • · Replies 15 ·
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15

Graduate Homology cross product and orientation

  • quasar987
  • · Replies 0 ·
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0

Graduate What is the Bing Metrization Theorem?

  • radou
  • · Replies 2 ·
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2

Graduate Question about the Nagata-Smirnov metrization theorem

  • radou
  • · Replies 11 ·
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11

Graduate Diffeomorphisms and embedded submanifolds

  • osprey
  • · Replies 1 ·
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1

Graduate Question: vector integral in non-orthog coordinates

  • 7thSon
  • · Replies 1 ·
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1

High School Question about points on a circle ?

  • cragar
  • · Replies 14 ·
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14

Undergrad Does |a|*b + |b|*a halve the angle between two random vectors a and b?

  • Nikitin
  • · Replies 10 ·
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10

Graduate What are some examples of mixed tensors in physics?

  • quasar987
  • · Replies 6 ·
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6

Graduate Lebesgue Measurability of Translated Sets?

  • To0ta
  • · Replies 2 ·
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2

Graduate About coordinate transformations in general

  • friend
  • · Replies 43 ·
2
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43

Graduate Is There a Missing Factor in the Nijenhuis Bracket Formula?

  • arkajad
  • · Replies 2 ·
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2

Graduate Deriving the Lattice Growth Formula

  • musicgold
  • · Replies 6 ·
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6

Graduate A compactification theorem issue

  • radou
  • · Replies 8 ·
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8

Undergrad What comes after (i hat j hat k hat)

  • billturner90
  • · Replies 7 ·
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7

Graduate Question regarding Munkres' proof of the Tychonoff theorem

  • radou
  • · Replies 13 ·
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13

Graduate Problem from A Beautiful Mind

  • Dragonfall
  • · Replies 8 ·
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8

Graduate Manipulating vector-matrices combinations

  • mysearch
  • · Replies 7 ·
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7

Help with This: Can Someone Assist?

  • vytautasr
  • · Replies 10 ·
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10

Graduate Expressing cos(2π/n) without using trigonometric functions

  • Yayness
  • · Replies 7 ·
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7

Graduate 2Questions: 1)Def. of Reg. Neighhoods 2)Zero in Homlgy and Hmtpy.

  • Bacle
  • · Replies 3 ·
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3

Graduate A question about the Urysohn metrization theorem

  • radou
  • · Replies 8 ·
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8

Graduate How can you geometrically see the homotopy between S^n/S^m and S^n-m-1?

  • mich0144
  • · Replies 1 ·
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1

Graduate Is this formula applicable for defining max{u*,v*} as an outer measure on X?

  • To0ta
  • · Replies 5 ·
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5

Graduate Vectyor bundles with all zero characteristic classes

  • lavinia
  • · Replies 19 ·
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19

Graduate Calculus of variations on odd dimensional manifolds

  • mma
  • · Replies 4 ·
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4

Graduate Does \(\tilde{y}^{j}\) depend on \(x^{i}\) in the tangent bundle framework?

  • math6
  • · Replies 3 ·
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3

Undergrad Find Slope of 1st Line w/ Given Data

  • markram987
  • · Replies 11 ·
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11

Graduate Fast Computation of Fundamental Groups: Practical Methods and Tricks

  • mich0144
  • · Replies 7 ·
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7

Graduate No Quadrilateral/Pentagon Knots: Simple Closed Polygons are Trivial

  • Bacle
  • · Replies 4 ·
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4

Graduate Is a bundle with non-orientable fibers always trivial?

  • klackity
  • · Replies 7 ·
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7

Graduate Ontoness and Induced Maps on Fundamental Group.

  • Bacle
  • · Replies 7 ·
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7

Graduate Isotopy between overlapping and non-over. Dehn Twists.

  • Bacle
  • · Replies 1 ·
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1

Graduate Periodic curve as immersed submanifold

  • robforsub
  • · Replies 3 ·
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3

Graduate Why does a map from simply connected space to U(1) factors through R?

  • eok20
  • · Replies 2 ·
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2

Graduate Spreading points evenly in plane

  • shybishie
  • · Replies 4 ·
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4

Undergrad Maximising the area of a triangle of known perimeter

  • Unredeemed
  • · Replies 4 ·
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4

Graduate Distance formula in hyperbolic metric

  • elffry
  • · Replies 2 ·
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2

Graduate What is the connection between the mapping class group of a torus and Gl(2,Z)?

  • Bacle
  • · Replies 2 ·
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2

Undergrad Geodesic Dome Angles: Help for Math Wizards!

  • kauaibeachbum
  • · Replies 1 ·
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1

Graduate So, the two definitions are equivalent.

  • Bacle
  • · Replies 6 ·
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6

Undergrad Converting Longitude and Latitude into Meters

  • Solistics
  • · Replies 3 ·
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3

Graduate Converting Rotation Matrices (Left handed to Right handed)

  • neorich
  • · Replies 2 ·
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2

Graduate Maps B2->S2 Define F+ & F-: Show Int w S2 = Int F+*(w) B2 - Int F-*(w)

  • huyichen
  • · Replies 7 ·
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7

Graduate Geometric Example of Torsion Cycles and Relative Cycles (in Homology)

  • Bacle
  • · Replies 17 ·
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17

Graduate What is the rank of the matrix of a reimannienne metric ?

  • math6
  • · Replies 7 ·
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7

Graduate Definition of a 1-forme différentiel \alpha ^{X}

  • math6
  • · Replies 2 ·
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2

Graduate What is the topological characterization of the Cantor set?

  • blinktx411
  • · Replies 1 ·
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1

Graduate Is every orientation form on a compact smooth manifold closed?

  • robforsub
  • · Replies 2 ·
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2

Graduate Does a Compact Manifold Imply a Compact Tangent Bundle?

  • math6
  • · Replies 6 ·
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6

Graduate Gradient in Spherical Coordinates: Computing w/ {em} & {wm}

  • autobot.d
  • · Replies 2 ·
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2

Graduate Differential Geom: Determining Partial Derivatives of f

  • k312
  • · Replies 5 ·
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5

Graduate Covariant vs contravariant indices

  • tickle_monste
  • · Replies 7 ·
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7

Graduate How is this possible/ what does it mean?

  • Edi
  • · Replies 1 ·
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1

High School Intersecting Planes: Visualizing & Explaining

  • RoughRoad
  • · Replies 9 ·
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9

Graduate How Are Maurer-Cartan Forms Utilized in Physics?

  • haushofer
  • · Replies 6 ·
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6

Graduate Non degeneracy of critical points

  • pp31
  • · Replies 1 ·
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1

Graduate Quotient Topology Explained: A Primer for Beginners

  • shankarvn
  • · Replies 6 ·
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6

Graduate How Do Generalized Poisson Brackets Apply to Canonical Relativity?

  • shoehorn
  • · Replies 3 ·
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3

Graduate Rotation of plane tangential to sphere

  • Equanimity
  • · Replies 2 ·
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2

Graduate Introduction to Topology Resources

  • blinktx411
  • · Replies 1 ·
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1

Graduate Are Same-Action Deck Transformations & Loops Equal for S1 x S1?

  • mich0144
  • · Replies 8 ·
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8

Graduate Problem in proving d(x,y)=0 implies x=y.

  • AlbertEinstein
  • · Replies 1 ·
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1

Undergrad Converting longitude/latitude to x/y

  • MasterX
  • · Replies 5 ·
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5

Graduate Difference between a convex norm and strong convex norme ?

  • math6
  • · Replies 1 ·
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1

Graduate Distances with non-euclidean metric

  • mnb96
  • · Replies 1 ·
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1

Graduate Understanding the Automatic Formation of Lie Subgroups in a Lie Group

  • hunhengy
  • · Replies 4 ·
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4

Graduate Covering Space Action of Z on R2−{0}: Exploring φ

  • mich0144
  • · Replies 12 ·
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12

Graduate How to Determine Current Directions from an Electrical Conductivity Tensor?

  • jsmith12
  • · Replies 4 ·
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4

Graduate How do we compute the geodesic between two points on a flat manifold?

  • mnb96
  • · Replies 7 ·
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7

Graduate Covariant derivative and vector functions

  • tom.young84
  • · Replies 1 ·
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1