The structure of stable minimal hypersurfaces in R^n

Details The structure of stable minimal hypersurfaces in R^n The structure of stable minimal hypersurfaces in R^n

1997-08-30

arxiv.org/abs/dg-ga/9709001v1

Mathematics

Differential Geometry

LaTex Form, to appear in Math Research Letters

Scientific paper

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.

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