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dc.contributor.authorLi, Haozhao
dc.contributor.authorZhou, Xin
dc.date.accessioned2017-03-04T00:12:50Z
dc.date.available2017-03-04T00:12:50Z
dc.date.issued2016-05
dc.date.submitted2015-04
dc.identifier.issn0944-2669
dc.identifier.issn1432-0835
dc.identifier.urihttp://hdl.handle.net/1721.1/107182
dc.description.abstractWe 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.sponsorshipNational Natural Science Foundation (China) (Grant No. 11131007)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMS-1406337)en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00526-016-1007-6en_US
dc.rightsArticle 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.sourceSpringer Berlin Heidelbergen_US
dc.titleExistence of minimal surfaces of arbitrarily large Morse indexen_US
dc.typeArticleen_US
dc.identifier.citationLi, 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.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorZhou, Xin
dc.relation.journalCalculus of Variations and Partial Differential Equationsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2017-02-02T15:20:26Z
dc.language.rfc3066en
dc.rights.holderSpringer-Verlag Berlin Heidelberg
dspace.orderedauthorsLi, Haozhao; Zhou, Xinen_US
dspace.embargo.termsNen
dc.identifier.orcidhttps://orcid.org/0000-0002-0212-4504
mit.licensePUBLISHER_POLICYen_US


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