Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

C. De Lellis - D. Tasnady

The existence of embedded minimal hypersurfaces

created by delellis on 06 May 2011
modified on 02 Jul 2013


Accepted Paper

Inserted: 6 may 2011
Last Updated: 2 jul 2013

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

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 $n$.

Credits | Cookie policy | HTML 5 | CSS 2.1