The structure of stable minimal hypersurfaces in R^n
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We provide a new topological obstruction for complete stable minimal hypersurfaces in R^n. For , we prove that any complete orientable stable hypersurfaces in R^n has only one end. This follows from a more general analytic theorem we prove in the paper.
Keywords
Cite
@article{arxiv.dg-ga/9709001,
title = {The structure of stable minimal hypersurfaces in R^n},
author = {Huai-Dong Cao and Ying Shen and Shunhui Zhu},
journal= {arXiv preprint arXiv:dg-ga/9709001},
year = {2008}
}
Comments
LaTex Form, to appear in Math Research Letters