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r-Minimal submanifolds in space forms

✍ Scribed by Linfen Cao; Haizhong Li

Publisher: Springer
Year: 2007
Tongue: English
Weight: 399 KB
Volume: 32
Category: Article
ISSN: 0232-704X
DOI: 10.1007/s10455-007-9064-x

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## Abstract The concepts “super stable” and “super index” for minimal submanifolds in a Euclidean space are introduced. These concepts coincide with the usual concepts “stable” and “index” when the submanifolds have codimension one. We prove that the only complete super stable minimal submanifolds