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The existence of embedded minimal hypersurfaces


De Lellis, Camillo; Tasnady, Dominik (2013). The existence of embedded minimal hypersurfaces. Journal of Differential Geometry, 95(3):355-388.

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≤n≤5 and extended later by Schoen and Simon to any n.

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≤n≤5 and extended later by Schoen and Simon to any n.

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5 citations in Web of Science®
6 citations in Scopus®
11 citations in Microsoft Academic
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2013
Deposited On:29 Nov 2013 10:03
Last Modified:16 Feb 2018 18:27
Publisher:International Press
ISSN:0022-040X
OA Status:Closed
Free access at:Related URL. An embargo period may apply.
Related URLs:http://projecteuclid.org/euclid.jdg/1381931732 (Organisation)
http://arxiv.org/abs/0905.4192

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