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H-surfaces with arbitrary topology in hyperbolic 3-space

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorCoşkunüzer, Barış
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokidN/A
dc.date.accessioned2024-11-09T22:58:05Z
dc.date.issued2017
dc.description.abstractWe show that any open orientable surface can be properly embedded in H-3 as a constant mean curvature H-surface for H epsilon [0, 1). We obtain this result by proving a version of the bridge principle at infinity for H-surfaces. We also show that any open orientable surface can be nonproperly embedded in H-3 as a minimal surface.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue2
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsorshipFulbright Grant
dc.description.sponsorshipTUBITAK[2219] Part of this research was carried out at the Max-Planck Institute for Mathematics during my visit. I would like to thank them for their great hospitality. I would like to thank Brian White and Francisco Martin for very valuable conversations. I would like to thank the referee for very valuable remarks. The author is supported by Fulbright Grant, and TUBITAK2219 Grant.
dc.description.volume27
dc.identifier.doi10.1007/s12220-016-9715-x
dc.identifier.eissn1559-002X
dc.identifier.issn1050-6926
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-84976370622
dc.identifier.urihttp://dx.doi.org/10.1007/s12220-016-9715-x
dc.identifier.urihttps://hdl.handle.net/20.500.14288/7662
dc.identifier.wos404678100011
dc.keywordsConstant mean curvature
dc.keywordsHyperbolic 3-space
dc.keywordsArea minimizing
dc.keywordsMinimal surface
dc.keywordsH-surface
dc.keywordsAsymptotic plateau problem
dc.keywordsArbitrary topology
dc.keywordsConstant mean-curvature
dc.keywordsMinimal-surfaces
dc.keywordsAsymptotic boundary
dc.keywordsHypersurfaces
dc.keywordsExistence
dc.keywordsRegularity
dc.languageEnglish
dc.publisherSpringer
dc.sourceJournal of Geometric Analysis
dc.subjectMathematics
dc.titleH-surfaces with arbitrary topology in hyperbolic 3-space
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0001-7462-8819
local.contributor.kuauthorCoşkunüzer, Barış
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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