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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. Taylor expansion - How can we deduce that?

    Started by mathmari, January 15th, 2016 15:05
    • Replies: 2
    • Views: 241
    January 16th, 2016, 10:39 Go to last post
  3. Which is the set?

    Started by mathmari, January 14th, 2016 21:09
    $f$, $s$, diffeomorphism, half-plane, local
    • Replies: 0
    • Views: 211
    January 14th, 2016, 21:09 Go to last post
  4. Transition map

    Started by mathmari, January 8th, 2016 17:54
    4 Pages
    1 2 3 ... 4
    • Replies: 32
    • Views: 1,612
    January 14th, 2016, 15:19 Go to last post
  5. 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: 214
    January 11th, 2016, 20:03 Go to last post
  6. [SOLVED] Principal curvatures

    Started by mathmari, January 11th, 2016 15:38
    $sigma$, $tildesigma$, curvatures, principal, show
    • Replies: 8
    • Views: 369
    January 11th, 2016, 19:20 Go to last post
  7. Hyperboloid of one sheet

    Started by mathmari, January 11th, 2016 18:39
    family, hyperboloid, lines, surface, theta
    • Replies: 0
    • Views: 305
    January 11th, 2016, 18:39 Go to last post
  8. [SOLVED] Reparametrization

    Started by mathmari, January 2nd, 2016 12:11
    • Replies: 8
    • Views: 431
    January 11th, 2016, 17:36 Go to last post
  9. [SOLVED] Line of striction

    Started by mathmari, January 4th, 2016 13:52
    3 Pages
    1 2 3
    • Replies: 21
    • Views: 996
    January 11th, 2016, 15:39 Go to last post
  10. [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: 1,055
    January 10th, 2016, 19:05 Go to last post
  11. 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: 1,472
    January 8th, 2016, 13:43 Go to last post
  12. Möbius band

    Started by mathmari, January 8th, 2016 10:18
    1-tsin, band, möbius, tcos, theta
    • Replies: 0
    • Views: 238
    January 8th, 2016, 10:18 Go to last post
  13. Equivalent equations

    Started by mathmari, January 7th, 2016 20:06
    • Replies: 0
    • Views: 212
    January 7th, 2016, 20:06 Go to last post
  14. Umbilics on the ellipsoid

    Started by mathmari, January 7th, 2016 13:08
    distinct, left, ucos^2, umbilics, vq^2r^2cos^2
    • Replies: 0
    • Views: 201
    January 7th, 2016, 13:08 Go to last post
  15. Area

    Started by mathmari, December 29th, 2015 11:44
    • Replies: 4
    • Views: 439
    January 6th, 2016, 08:00 Go to last post
  16. [SOLVED] Spherical circle - Circle

    Started by mathmari, January 2nd, 2016 19:56
    3 Pages
    1 2 3
    • Replies: 22
    • Views: 1,059
    January 5th, 2016, 20:32 Go to last post
  17. [SOLVED] The set of linear combinations is unchanged

    Started by mathmari, January 4th, 2016 21:22
    $sigma, $sigma$, reparametrization, spanned, tangent
    • Replies: 6
    • Views: 468
    January 5th, 2016, 10:46 Go to last post
  18. Isometry

    Started by evinda, November 10th, 2015 15:45
    4 Pages
    1 2 3 ... 4
    $lgamma$, area, isometry, simple, thinking
    • Replies: 33
    • Views: 1,933
    January 4th, 2016, 17:40 Go to last post
  19. Reparametrization - First fundamental form

    Started by mathmari, December 24th, 2015 19:49
    2 Pages
    1 2
    • Replies: 13
    • Views: 820
    January 4th, 2016, 15:54 Go to last post
  20. [SOLVED] Smooth transition maps

    Started by mathmari, January 4th, 2016 06:24
    fracusqrt1-u^2-v^2, maps, smooth, sqrt1, transition
    • Replies: 2
    • Views: 338
    January 4th, 2016, 12:37 Go to last post
  21. [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: 1,308
    January 4th, 2016, 12:23 Go to last post
  22. 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: 290
    January 3rd, 2016, 09:13 Go to last post
  23. Unit normal of the surface S

    Started by mathmari, December 30th, 2015 11:00
    • Replies: 3
    • Views: 299
    January 2nd, 2016, 07:49 Go to last post
  24. Local diffeomorphism - First fundamental form

    Started by mathmari, December 30th, 2015 12:06
    • Replies: 0
    • Views: 297
    December 30th, 2015, 12:06 Go to last post
  25. [SOLVED] Weingarten map

    Started by mathmari, December 28th, 2015 19:13
    2 Pages
    1 2
    curvature, quadratic, satisfies, show, wondering
    • Replies: 12
    • Views: 812
    December 30th, 2015, 10:20 Go to last post
  26. [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: 706
    December 27th, 2015, 20:13 Go to last post
  27. [SOLVED] Local isometry

    Started by mathmari, December 22nd, 2015 14:49
    2 Pages
    1 2
    rightarrow, isometry, local, supposed, wondering
    • Replies: 15
    • Views: 953
    December 26th, 2015, 18:28 Go to last post
  28. [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: 757
    December 24th, 2015, 11:39 Go to last post
  29. 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: 323
    December 20th, 2015, 13:49 Go to last post
  30. Delaunay triangulation

    Started by Evgeny.Makarov, December 19th, 2015 19:39
    $p$, delaunay, edges, points, triangulation
    • Replies: 1
    • Views: 327
    December 20th, 2015, 05:40 Go to last post
  31. Show that it is a surface

    Started by mathmari, December 17th, 2015 11:45
    $r^3$, homeomorphic, open, show, surface
    • Replies: 5
    • Views: 479
    December 18th, 2015, 09:53 Go to last post

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