The structure of stable minimal hypersurfaces in R^n
classification
dg-ga
math.DG
keywords
hypersurfacesstablecompleteminimalproveanalyticfollowsgeneral
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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.
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