Zero Mean Curvature Surfaces in Euclidean and Lorentz-Minkowski 3-Space - Lecture 1

Zero Mean Curvature Surfaces in Euclidean and Lorentz-Minkowski 3-Space - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Period problem

15 of 34

15 of 34

Period problem

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Zero Mean Curvature Surfaces in Euclidean and Lorentz-Minkowski 3-Space - Lecture 1

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  1. 1 Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski 3-space Lecture 1
  2. 2 Volume of hypersurfaces
  3. 3 The first variation of the volume
  4. 4 The second variation of the volume
  5. 5 Stability
  6. 6 Stability of the catenoid
  7. 7 Stable minimal surface v.s. area-minimizing surface
  8. 8 Graph hypersurface
  9. 9 The Bernstein problem
  10. 10 Examples of minimal surface
  11. 11 Scherk' minimal surfaces before Weierstrass
  12. 12 Weierstrass representation
  13. 13 The first and second fundamental forms, the Gauss map
  14. 14 The period problem
  15. 15 Period problem
  16. 16 Symmetry
  17. 17 Example minimal surfaces of finite total curvature
  18. 18 Example Singly periodic minimal surfaces
  19. 19 Example Doubly periodic minimal surfaces
  20. 20 Example Triply periodic minimal surfaces
  21. 21 New triply periodic minimal surfaces
  22. 22 Schwarz P, Schwarz
  23. 23 Limit of Schwarz P, Schwarz D: a -
  24. 24 Limit of Schwarz P, Schwarz D: a - 1
  25. 25 Minimal surfaces of finite total curvature
  26. 26 The Osserman inequality
  27. 27 Examples which satisfy the equality n 3
  28. 28 The case n 2
  29. 29 Nonorientable minimal surfaces
  30. 30 The Gauss map
  31. 31 deg
  32. 32 Example: Mobius strip degg = 3
  33. 33 Example: Klein bottle-{1 pt} degg = 4 M = 2, W
  34. 34 Q&A

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