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Forum: Topology and Advanced Geometry

General, Algebraic, and Geometric Topology; Differential Geometry and Tensor Analysis; Advanced Euclidean and Non-Euclidean Geometry, Projective Geometry

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  2. How do we get the terms E, F, G, L, M, N ?

    Started by mathmari, January 9th, 2016 17:02
    • Replies: 2
    • Views: 362
    January 16th, 2016, 11:16 Go to last post
  3. Taylor expansion - How can we deduce that?

    Started by mathmari, January 15th, 2016 15:05
    • Replies: 2
    • Views: 273
    January 16th, 2016, 10:39 Go to last post
  4. Which is the set?

    Started by mathmari, January 14th, 2016 21:09
    $f$, $s$, diffeomorphism, half-plane, local
    • Replies: 0
    • Views: 246
    January 14th, 2016, 21:09 Go to last post
  5. Transition map

    Started by mathmari, January 8th, 2016 17:54
    4 Pages
    1 2 3 ... 4
    • Replies: 32
    • Views: 1,757
    January 14th, 2016, 15:19 Go to last post
  6. Distance between the geodesic and the z-axis

    Started by mathmari, January 11th, 2016 20:03
    $$dot, $gamma$, $z$-axis, distance, geodesic
    • Replies: 0
    • Views: 237
    January 11th, 2016, 20:03 Go to last post
  7. [SOLVED] Principal curvatures

    Started by mathmari, January 11th, 2016 15:38
    $sigma$, $tildesigma$, curvatures, principal, show
    • Replies: 8
    • Views: 417
    January 11th, 2016, 19:20 Go to last post
  8. Hyperboloid of one sheet

    Started by mathmari, January 11th, 2016 18:39
    family, hyperboloid, lines, surface, theta
    • Replies: 0
    • Views: 330
    January 11th, 2016, 18:39 Go to last post
  9. [SOLVED] Reparametrization

    Started by mathmari, January 2nd, 2016 12:11
    • Replies: 8
    • Views: 469
    January 11th, 2016, 17:36 Go to last post
  10. [SOLVED] Line of striction

    Started by mathmari, January 4th, 2016 13:52
    3 Pages
    1 2 3
    • Replies: 21
    • Views: 1,077
    January 11th, 2016, 15:39 Go to last post
  11. [SOLVED] Open subset of a surface

    Started by mathmari, December 19th, 2015 20:27
    2 Pages
    1 2
    $mathbbr^3$, $s$, open, subset, surface
    • Replies: 13
    • Views: 1,174
    January 10th, 2016, 19:05 Go to last post
  12. Structure of surface

    Started by mathmari, December 17th, 2015 21:09
    3 Pages
    1 2 3
    $s^2$, give, surface, u^2, v^2
    • Replies: 29
    • Views: 1,596
    January 8th, 2016, 13:43 Go to last post
  13. Möbius band

    Started by mathmari, January 8th, 2016 10:18
    1-tsin, band, möbius, tcos, theta
    • Replies: 0
    • Views: 253
    January 8th, 2016, 10:18 Go to last post
  14. Equivalent equations

    Started by mathmari, January 7th, 2016 20:06
    • Replies: 0
    • Views: 239
    January 7th, 2016, 20:06 Go to last post
  15. Umbilics on the ellipsoid

    Started by mathmari, January 7th, 2016 13:08
    distinct, left, ucos^2, umbilics, vq^2r^2cos^2
    • Replies: 0
    • Views: 222
    January 7th, 2016, 13:08 Go to last post
  16. Area

    Started by mathmari, December 29th, 2015 11:44
    • Replies: 4
    • Views: 475
    January 6th, 2016, 08:00 Go to last post
  17. [SOLVED] Spherical circle - Circle

    Started by mathmari, January 2nd, 2016 19:56
    3 Pages
    1 2 3
    • Replies: 22
    • Views: 1,158
    January 5th, 2016, 20:32 Go to last post
  18. [SOLVED] The set of linear combinations is unchanged

    Started by mathmari, January 4th, 2016 21:22
    $sigma, $sigma$, reparametrization, spanned, tangent
    • Replies: 6
    • Views: 512
    January 5th, 2016, 10:46 Go to last post
  19. Isometry

    Started by evinda, November 10th, 2015 15:45
    4 Pages
    1 2 3 ... 4
    $lgamma$, area, isometry, simple, thinking
    • Replies: 33
    • Views: 2,083
    January 4th, 2016, 17:40 Go to last post
  20. Reparametrization - First fundamental form

    Started by mathmari, December 24th, 2015 19:49
    2 Pages
    1 2
    • Replies: 13
    • Views: 908
    January 4th, 2016, 15:54 Go to last post
  21. [SOLVED] Smooth transition maps

    Started by mathmari, January 4th, 2016 06:24
    fracusqrt1-u^2-v^2, maps, smooth, sqrt1, transition
    • Replies: 2
    • Views: 388
    January 4th, 2016, 12:37 Go to last post
  22. [SOLVED] How do we get the perpendicular projection of the gradient?

    Started by mathmari, December 24th, 2015 11:52
    3 Pages
    1 2 3
    • Replies: 29
    • Views: 1,464
    January 4th, 2016, 12:23 Go to last post
  23. Dot product of a curve and a vector

    Started by mathmari, January 2nd, 2016 10:53
    $gamma, a=0$, cdot, curve, vector
    • Replies: 3
    • Views: 312
    January 3rd, 2016, 09:13 Go to last post
  24. Unit normal of the surface S

    Started by mathmari, December 30th, 2015 11:00
    • Replies: 3
    • Views: 338
    January 2nd, 2016, 07:49 Go to last post
  25. Local diffeomorphism - First fundamental form

    Started by mathmari, December 30th, 2015 12:06
    • Replies: 0
    • Views: 330
    December 30th, 2015, 12:06 Go to last post
  26. [SOLVED] Weingarten map

    Started by mathmari, December 28th, 2015 19:13
    2 Pages
    1 2
    curvature, quadratic, satisfies, show, wondering
    • Replies: 12
    • Views: 935
    December 30th, 2015, 10:20 Go to last post
  27. [SOLVED] Norm of cross product

    Started by mathmari, December 27th, 2015 18:56
    2 Pages
    1 2
    $alpha$, angle, suppose, surfaces, unit
    • Replies: 12
    • Views: 766
    December 27th, 2015, 20:13 Go to last post
  28. [SOLVED] Local isometry

    Started by mathmari, December 22nd, 2015 14:49
    2 Pages
    1 2
    rightarrow, isometry, local, supposed, wondering
    • Replies: 15
    • Views: 1,039
    December 26th, 2015, 18:28 Go to last post
  29. [SOLVED] The linear map is invertible

    Started by mathmari, December 24th, 2015 06:54
    2 Pages
    1 2
    circ, curve, invertible, regular, rightarrow
    • Replies: 12
    • Views: 838
    December 24th, 2015, 11:39 Go to last post
  30. Parametrization of quadrics

    Started by mathmari, December 19th, 2015 21:54
    fracx^2p^2+fracy^2q^2=z$, give, parametrization, quadrics, wondering
    • Replies: 1
    • Views: 347
    December 20th, 2015, 13:49 Go to last post
  31. Delaunay triangulation

    Started by Evgeny.Makarov, December 19th, 2015 19:39
    $p$, delaunay, edges, points, triangulation
    • Replies: 1
    • Views: 348
    December 20th, 2015, 05:40 Go to last post

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