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 | |
| Publication status | Published - Jun 1 1989 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
The uniqueness for minimal surfaces in S3. / Koiso, Miyuki.
In: Manuscripta Mathematica, Vol. 63, No. 2, 01.06.1989, p. 193-207.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The uniqueness for minimal surfaces in S3
AU - Koiso, Miyuki
PY - 1989/6/1
Y1 - 1989/6/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=34249970178&partnerID=8YFLogxK
U2 - 10.1007/BF01168871
DO - 10.1007/BF01168871
M3 - Article
AN - SCOPUS:34249970178
VL - 63
SP - 193
EP - 207
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 2
ER -