| dc.contributor.author | Chambers, Gregory R | |
| dc.contributor.author | Liokumovich, Yevgeniy | |
| dc.date.accessioned | 2020-11-30T15:58:14Z | |
| dc.date.available | 2020-11-30T15:58:14Z | |
| dc.date.issued | 2020-08 | |
| dc.identifier.issn | 0020-9910 | |
| dc.identifier.issn | 1432-1297 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/128678 | |
| dc.description.abstract | We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact) minimal hypersurface of finite volume. The main tool is the following result of independent interest: if a region U can be swept out by a family of hypersurfaces of volume at most V, then it can be swept out by a family of mutually disjoint hypersurfaces of volume at most V+ε. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | 10.1007/s00222-019-00903-3 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Existence of minimal hypersurfaces in complete manifolds of finite volume | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Chambers, Gregory R., and Yevgeniy Liokumovich, "Existence of minimal hypersurfaces in complete manifolds of finite volume." Inventiones mathematicae 219 (2020): 179-217 ©2020 Author(s) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Inventiones mathematicae | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T20:53:24Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T20:53:24Z | |
| mit.journal.volume | 219 | en_US |
| mit.license | PUBLISHER_POLICY | |
