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Number of Least area planes in gromov hyperbolic 3-spaces

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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.date.accessioned2024-11-09T13:19:13Z
dc.date.issued2010
dc.description.abstractWe show that for a generic simple closed curve Γ in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exists a unique least area plane Σ in X such that ∂∞Σ = Γ. This result has interesting topological applications for constructions of canonical 2-dimensional objects in Gromov hyperbolic 3-manifolds.
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)
dc.description.versionPublisher version
dc.description.volume138
dc.formatpdf
dc.identifier.eissn1088-6826
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00023
dc.identifier.issn0002-9939
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-77952058392
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3095
dc.identifier.wos280305000025
dc.languageEnglish
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.grantnoIRG-226062
dc.relation.grantno109T685
dc.relation.grantno107T642
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1055
dc.sourceProceedings of the American Mathematical Society
dc.subjectMathematics
dc.titleNumber of Least area planes in gromov hyperbolic 3-spaces
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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