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General Closed Surfaces of Genus O with Constant Mean Curvature - Generalizations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1000)

Abstract

The main theorem of the chapter has already been formulated in V, 2.7. The proof will be given in Section 2 and some generalizations will be made in Section 3. The first paragraph is devoted to some preparatory formulas and computations.

Keywords

  • Riemann Surface
  • Interior Point
  • Quadratic Differential
  • Umbilic Point
  • Conformal Type

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© 1983 Springer-Verlag Berlin Heidelberg

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Hopf, H. (1983). General Closed Surfaces of Genus O with Constant Mean Curvature - Generalizations. In: Differential Geometry in the Large. Lecture Notes in Mathematics, vol 1000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21563-0_11

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  • DOI: https://doi.org/10.1007/978-3-662-21563-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12004-9

  • Online ISBN: 978-3-662-21563-0

  • eBook Packages: Springer Book Archive