The existence of embedded minimal hypersurfaces

De Lellis, Camillo; Tasnady, Dominik (2013). The existence of embedded minimal hypersurfaces. Journal of Differential Geometry, 95(3):355-388.

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≤n≤5 and extended later by Schoen and Simon to any n.

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≤n≤5 and extended later by Schoen and Simon to any n.

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