Publication:
Embedded plateau problem

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorCoşkunüzer, Barış
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T13:09:39Z
dc.date.issued2012
dc.description.abstractWe show that if Gamma is a simple closed curve bounding an embedded disk in a closed 3-manifold M, then there exists a disk Sigma in M with boundary Gamma such that Sigma minimizes the area among the embedded disks with boundary Gamma. Moreover, Sigma is smooth, minimal and embedded everywhere except where the boundary Gamma meets the interior of Sigma. The same result is also valid for homogeneously regular manifolds with sufficiently convex boundary.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuEU - TÜBİTAK
dc.description.sponsorshipEU-FP7
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.versionPublisher version
dc.description.volume364
dc.identifier.doi10.1090/S0002-9947-2011-05486-3
dc.identifier.eissn1088-6850
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00086
dc.identifier.issn0002-9947
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-82755176734
dc.identifier.urihttps://doi.org/10.1090/S0002-9947-2011-05486-3
dc.identifier.wos301764300007
dc.keywordsMinimal-surfaces
dc.keywordsHyperbolic 3-manifolds
dc.keywordsRegularity
dc.keywordsExistence
dc.keywordsCurvature
dc.keywordsManifolds
dc.keywordsTopology
dc.keywordsCurves
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.grantnoIRG-226062
dc.relation.grantno109T685
dc.relation.ispartofTransactions of the American Mathematical Society
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1118
dc.subjectMathematics
dc.titleEmbedded plateau problem
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorCoşkunüzer, Barış
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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