English

The existence of embedded minimal hypersurfaces

Analysis of PDEs 2009-05-27 v1 Differential Geometry

Abstract

We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth (n+1)(n+1)--dimensional Riemannian manifolds, a theorem proved first by Pitts for 2n52\leq n\leq 5 and extended later by Schoen and Simon to any nn.

Keywords

Cite

@article{arxiv.0905.4192,
  title  = {The existence of embedded minimal hypersurfaces},
  author = {Camillo De Lellis and Dominik Tasnady},
  journal= {arXiv preprint arXiv:0905.4192},
  year   = {2009}
}
R2 v1 2026-06-21T13:06:04.309Z