Some nonexistence theorems on stable minimal submanifolds
Colloquium Mathematicum, Tome 73 (1997) no. 1, pp. 1-13
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_cm_73_1_1_13,
author = {Haizhong Li},
title = {Some nonexistence theorems on stable minimal submanifolds},
journal = {Colloquium Mathematicum},
pages = {1--13},
publisher = {mathdoc},
volume = {73},
number = {1},
year = {1997},
doi = {10.4064/cm-73-1-1-13},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-73-1-1-13/}
}
Haizhong Li. Some nonexistence theorems on stable minimal submanifolds. Colloquium Mathematicum, Tome 73 (1997) no. 1, pp. 1-13. doi: 10.4064/cm-73-1-1-13
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