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Generic uniqueness of area minimizing disks for extreme curves

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorFaculty Member, Coşkunüzer, Barış
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.sponsoredbyTubitakEuEU - TÜBİTAK
dc.description.sponsorshipEuropean Union
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.versionAuthor's final manuscript
dc.description.volume132
dc.identifier.doi10.1353/ajm.0.0129
dc.identifier.eissn1080-6377
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00012
dc.identifier.issn0002-9327
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-77955887639
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1685
dc.identifier.wos280509200007
dc.language.isoeng
dc.publisherJohns Hopkins University (JHU) Press
dc.relation.grantnoIRG-226062
dc.relation.grantno107T642
dc.relation.ispartofAmerican Journal of Mathematics
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1043
dc.subjectMathematics
dc.titleGeneric uniqueness of area minimizing disks for extreme curves
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorCoşkunüzer, Barış
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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