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Uniqueness of area minimizing surfaces for extreme curves

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorCoşkunüzer, Barış
dc.contributor.kuauthorEtgü, Tolga
dc.contributor.kuprofileFaculty Member
dc.contributor.kuprofileFaculty Member
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokidN/A
dc.contributor.yokid16206
dc.date.accessioned2024-11-09T12:39:34Z
dc.date.issued2014
dc.description.abstractLet MM be a compact, orientable, mean convex 33-manifold with boundary ?M?M. We show that the set of all simple closed curves in ?M?M which bound unique area minimizing disks in MM is dense in the space of simple closed curves in ?M?M which are nullhomotopic in MM. We also show that the set of all simple closed curves in ?M?M which bound unique absolutely area minimizing surfaces in MM is dense in the space of simple closed curves in ?M?M which are nullhomologous in MM.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue4
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsoredbyTubitakEuEU
dc.description.sponsorshipMax Planck Institute in Bonn
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA) - GEBIP Award
dc.description.sponsorshipEU-FP7
dc.description.versionAuthor's final manuscript
dc.description.volume30
dc.formatpdf
dc.identifier.doi10.4171/RMI/810
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00331
dc.identifier.issn0213-2230
dc.identifier.linkhttps://doi.org/10.4171/RMI/810
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-84919488909
dc.identifier.urihttps://hdl.handle.net/20.500.14288/2109
dc.identifier.wos351974400002
dc.keywordsPlateau problem
dc.keywordsArea minimizing surfaces
dc.keywordsMinimal surfaces
dc.keywordsMean convex 3-manifolds
dc.keywordsUniqueness
dc.languageEnglish
dc.publisherEuropean Mathematical Society
dc.relation.grantnoIRG-226062
dc.relation.grantno109T685
dc.relation.grantno110T209
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1351
dc.sourceRevista Matematica Iberoamericana
dc.subjectMathematics
dc.titleUniqueness of area minimizing surfaces for extreme curves
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authoridN/A
local.contributor.authorid0000-0003-2464-3636
local.contributor.kuauthorCoşkunüzer, Barış
local.contributor.kuauthorEtgü, Tolga
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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