The structure of stable minimal hypersurfaces in R^n

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We provide a new topological obstruction for complete stable minimal hypersurfaces in R^n. For $n\geq 4$, 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.
LaTex Form, to appear in Math Research Letters

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Differential Geometry, 53C21, 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/152280

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9709001
 http://arxiv.org/abs/dg-ga/9709001

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arXiv