Calculus of Variations and Geometric Measure Theory
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C. De Lellis - D. Tasnady

The existence of embedded minimal hypersurfaces

created by delellis on 06 May 2011
modified on 17 Jul 2018


Published Paper

Inserted: 6 may 2011
Last Updated: 17 jul 2018

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

For the update version and eventual errata see the webpage http:/www.math.uzh.chdelellis


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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