The existence of embedded minimal hypersurfaces

Details The existence of embedded minimal hypersurfaces The existence of embedded minimal hypersurfaces

2009-05-26

arxiv.org/abs/0905.4192v1

Mathematics

Analysis of PDEs

Scientific paper

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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