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 $n$.
Citation
Camillo De Lellis. Dominik Tasnady. "The existence of embedded minimal hypersurfaces." J. Differential Geom. 95 (3) 355 - 388, November 2013. https://doi.org/10.4310/jdg/1381931732
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