A+ CATEGORY SCIENTIFIC UNIT

Some nonexistence theorems on stable minimal submanifolds

Volume 73 / 1997

Haizhong Li Colloquium Mathematicum 73 (1997), 1-13 DOI: 10.4064/cm-73-1-1-13

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.

Authors

  • Haizhong Li

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