Some nonexistence theorems on stable minimal submanifolds
Volume 73 / 1997
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.
