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.
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.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Algebra and Number Theory Physical Sciences > Geometry and Topology |
| Language: | English |
| Date: | 2013 |
| Deposited On: | 29 Nov 2013 10:03 |
| Last Modified: | 10 Nov 2023 02:42 |
| Publisher: | International Press |
| ISSN: | 0022-040X |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.4310/jdg/1381931732 |
| Related URLs: | http://projecteuclid.org/euclid.jdg/1381931732 (Organisation) http://arxiv.org/abs/0905.4192 |
De Lellis, Camillo