Calculus of Variations and Geometric Measure Theory

C. De Lellis - D. Tasnady

The existence of embedded minimal hypersurfaces

created by delellis on 06 May 2011
modified on 27 Jun 2019


Published Paper

Inserted: 6 may 2011
Last Updated: 27 jun 2019

Journal: Jour. Diff. Geom.
Volume: 95
Number: 3
Pages: 355–388
Year: 2013

ArXiv: 0905.4192 PDF

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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 $n$.