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arXiv · 0905.4192

The existence of embedded minimal hypersurfaces

Camillo De Lellis·Dominik Tasnady
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Abstract

We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth $(n+1)$--dimensional Riemannian manifolds, a theorem proved first by Pitts for $2\leq n\leq 5$ and extended later by Schoen and Simon to any $n$.

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Camillo De Lellis, Dominik Tasnady. 2009-05-26. The existence of embedded minimal hypersurfaces. https://arxiv.org/abs/0905.4192

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