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Generic uniqueness of area minimizing disks for extreme curves

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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.accessioned2024-11-09T12:26:28Z
dc.date.issued2010
dc.description.abstractWe show that for a generic nullhomotopic simple closed curve Γ in the boundary of a compact, orientable, mean convex 3-manifold M with H2(M, Z) = 0, there is a unique area minimizing disk D embedded in M with ∂D = Γ. We also show that the same is true for nullhomologous curves in the absolutely area minimizing surface case.
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.sponsorshipEuropean Union
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.versionAuthor's final manuscript
dc.description.volume132
dc.formatpdf
dc.identifier.doi10.1353/ajm.0.0129
dc.identifier.eissn1080-6377
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00012
dc.identifier.issn0002-9327
dc.identifier.linkhttps://doi.org/10.1353/ajm.0.0129
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-77955887639
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1685
dc.identifier.wos280509200007
dc.languageEnglish
dc.publisherJohns Hopkins University (JHU) Press
dc.relation.grantnoIRG-226062
dc.relation.grantno107T642
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1043
dc.sourceAmerican Journal of Mathematics
dc.subjectMathematics
dc.titleGeneric uniqueness of area minimizing disks for extreme curves
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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