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Rigidity of minimal submanifolds in space forms

✍ Scribed by J. L. M. Barbosa; M. Dajczer; L. P. Jorge

Publisher: Springer
Year: 1984
Tongue: English
Weight: 242 KB
Volume: 267
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01455960

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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