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On surfaces of constant mean curvature in a three-dimensional space of constant curvature

Part of the Lecture Notes in Mathematics book series (LNM,volume 1007)

Keywords

  • Fundamental Form
  • Constant Curvature
  • Curvature Form
  • Total Curvature
  • Exterior Derivative

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References

  1. H. Hopf, Über Flächen mit einer Relation zwischen den Hauptkrümmungen, Math. Nachr. 4 (1950–51), 232–249.

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  2. Wu-yi Hsiang, Zhen-huan Teng, and Wen-ci Yu, New examples of constant mean curvature immersions of 3-sphere into euclidean 4-space to appear in Proc. Nat. Acad. Sci, USA, 1982.

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© 1983 Springer-Verlag

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Chern, Ss. (1983). On surfaces of constant mean curvature in a three-dimensional space of constant curvature. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061413

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  • DOI: https://doi.org/10.1007/BFb0061413

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12336-1

  • Online ISBN: 978-3-540-40969-4

  • eBook Packages: Springer Book Archive