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A Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphere

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dc.contributor.authorLi, Haizhong
dc.contributor.authorXiong, Changwei
dc.date.accessioned2021-04-28T04:28:34Z
dc.date.issued2017
dc.date.updated2020-11-23T10:05:49Z
dc.description.abstractIn this paper we provide a pinching condition for the characterization of the totally geodesic disk and the rotational annulus among minimal surfaces with free boundary in geodesic balls of three-dimensional hyperbolic space and hemisphere. The pinching condition involves the length of the second fundamental form, the support function of the surface, and a natural potential function in hyperbolic space and hemisphere.en_AU
dc.description.sponsorshipThe first author was supported by NSFC Grant No. 11671224. The second author was supported by a postdoctoral fellowship funded via ARC Laureate Fellowship FL150100126.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1050-6926en_AU
dc.identifier.urihttp://hdl.handle.net/1885/231083
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/17267..."The Accepted Version can be archived in Institutional Repository" from SHERPA/RoMEO site (as at 30/04/2021).
dc.publisherAmerican Mathematical Societyen_AU
dc.relationhttp://purl.org/au-research/grants/arc/FL150100126en_AU
dc.rights© Mathematica Josephina, Inc. 2017en_AU
dc.sourceJournal of Geometric Analysisen_AU
dc.subjectGap theoremen_AU
dc.subjectMinimal surfaceen_AU
dc.subjectFree boundaryen_AU
dc.subjectHyperbolic spaceen_AU
dc.subjectHemisphereen_AU
dc.titleA Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphereen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage3182en_AU
local.bibliographicCitation.startpage3171en_AU
local.contributor.affiliationLi, Haizhong, Tsinghua Universityen_AU
local.contributor.affiliationXiong, Changwei, College of Science, ANUen_AU
local.contributor.authoruidXiong, Changwei, u1008352en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010112 - Topologyen_AU
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciencesen_AU
local.identifier.ariespublicationu4351680xPUB464en_AU
local.identifier.citationvolume28en_AU
local.identifier.doi10.1007/s12220-017-9953-6en_AU
local.identifier.scopusID2-s2.0-85032661397
local.publisher.urlhttp://www.springerlink.com/en_AU
local.type.statusAccepted Versionen_AU

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