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Foliations of hyperbolic space by constant mean curvature hypersurfaces

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorCoşkunüzer, Barış
dc.contributor.kuprofileFaculty Member
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T13:19:44Z
dc.date.issued2009
dc.description.abstractWe show that the constant mean curvature hypersurfaces in Hn+1 spanning the boundary of a star-shaped C1,1 domain in Sn∞ (Hn+1) give a foliation of Hn+1. We also show that if is a closed codimension-1 C2,α submanifold in Sn∞ (Hn+1) bounding a unique constant mean curvature hypersurface H in Hn+1 with ∂∞ H = for any H ∈ (−1, 1), then the constant mean curvature hypersurfaces { H} foliate Hn+1.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue8
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsoredbyTubitakEuEU
dc.description.sponsorshipEuropean Union
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA)-GEBİP Award
dc.description.versionAuthor's final manuscript
dc.description.volume2010
dc.formatpdf
dc.identifier.doi10.1093/imrn/rnp175
dc.identifier.eissn1687-0247
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00024
dc.identifier.issn1073-7928
dc.identifier.linkhttps://doi.org/10.1093/imrn/rnp175
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-77951237781
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3149
dc.identifier.wos276745300002
dc.languageEnglish
dc.publisherOxford University Press (OUP)
dc.relation.grantnoIRG-226062
dc.relation.grantno107T642
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1054
dc.sourceInternational Mathematics Research Notices
dc.subjectMathematics
dc.titleFoliations of hyperbolic space by constant mean curvature hypersurfaces
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorCoşkunüzer, Barış
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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