A global pinching theorem for compact minimal surfaces in s3

Yi-Jung Hsu*

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Let M be a compact minimally immersed surface in the unit sphere S3, and let S denote the square of the length of the second fundamental form of M. We prove that if, then M is either the equatorial sphere or the Clifford torus.

Original languageEnglish
Pages (from-to)1041-1044
Number of pages4
JournalProceedings of the American Mathematical Society
Volume111
Issue number4
DOIs
StatePublished - 1 Jan 1991

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