The uniqueness for minimal surfaces in S3

Miyuki Koiso

doi:10.1007/BF01168871

The uniqueness for minimal surfaces in S³

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	193-207
Number of pages	15
Journal	Manuscripta Mathematica
Volume	63
Issue number	2
DOIs	https://doi.org/10.1007/BF01168871
Publication status	Published - Jun 1 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/BF01168871

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