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manuscripta mathematica

, Volume 63, Issue 2, pp 193–207 | Cite as

The uniqueness for minimal surfaces inS3

  • Miyuki Koiso
Article
  • 34 Downloads

Abstract

We give a sufficient condition on a Jordan curve Γ in the 3-dimensional open hemisphereH ofS3 in terms of the Hopf fibering under which Γ spans a unique compact generalized minimal surface inH. The maximum principle for minimal surfaces inS3 is proved and plays an important role in the proof of the uniqueness theorem.

Keywords

Maximum Principle Number Theory Minimal Surface Algebraic Geometry Topological Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Miyuki Koiso
    • 1
  1. 1.Department of MathematicsOsaka UniversityOsakaJapan

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