| dc.contributor.author | Li, Haozhao | |
| dc.contributor.author | Zhou, Xin | |
| dc.date.accessioned | 2017-03-04T00:12:50Z | |
| dc.date.available | 2017-03-04T00:12:50Z | |
| dc.date.issued | 2016-05 | |
| dc.date.submitted | 2015-04 | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.issn | 1432-0835 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/107182 | |
| dc.description.abstract | We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are minimal surfaces of arbitrary large Morse index, which partially confirms a conjecture by Marques and Neves. We prove this by analyzing the lamination structure of the limit of minimal surfaces with bounded Morse index. | en_US |
| dc.description.sponsorship | National Natural Science Foundation (China) (Grant No. 11131007) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1406337) | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00526-016-1007-6 | 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 surfaces of arbitrarily large Morse index | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Li, Haozhao, and Xin Zhou. “Existence of Minimal Surfaces of Arbitrarily Large Morse Index.” Calculus of Variations and Partial Differential Equations 55.3 (2016): n. pag. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Zhou, Xin | |
| dc.relation.journal | Calculus of Variations and Partial Differential Equations | 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 | 2017-02-02T15:20:26Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
| dspace.orderedauthors | Li, Haozhao; Zhou, Xin | en_US |
| dspace.embargo.terms | N | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-0212-4504 | |
| mit.license | PUBLISHER_POLICY | en_US |
