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 02 Jul 2013

[BibTeX]

Accepted Paper

Inserted: 6 may 2011
Last Updated: 2 jul 2013

Journal: To appear in Jour. Diff. Geom.
Year: 2010
Notes:

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


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 $2\leq n\leq 5$ and extended later by Schoen and Simon to any $n$.

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