Abstract
We give a sufficient condition on a Jordan curve Γ in the 3-dimensional open hemisphere H of S3 in terms of the Hopf fibering under which Γ spans a unique compact generalized minimal surface in H. The maximum principle for minimal surfaces in S3 is proved and plays an important role in the proof of the uniqueness theorem.
Original language | English |
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Pages (from-to) | 193-207 |
Number of pages | 15 |
Journal | Manuscripta Mathematica |
Volume | 63 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1 1989 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)