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ArticleOriginal scientific text

Title

Some nonexistence theorems on stable minimal submanifolds

Authors 1

Affiliations

  1. Department of Applied Mathematics Tsinghua University Beijing, 100084 People's Republic of China

Abstract

We prove that there exist no stable minimal submanifolds in some n-dimensional ellipsoids, which generalizes J. Simons' result about the unit sphere and gives a partial answer to Lawson–Simons' conjecture.

Bibliography

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Colloquium Mathematicum
1997/73/1
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Pages:
1-13
Main language of publication
English
Received
1996-01-03
Published
1997
Exact and natural sciences