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Non-properly embedded minimal planes in hyperbolic 3-space

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorCoşkunüzer, Barış
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T11:58:47Z
dc.date.issued2011
dc.description.abstractIn this paper, we show that there are non-properly embedded minimal surfaces with finite topology in a simply connected Riemannian 3-manifold with non-positive curvature. We show this result by constructing a non-properly embedded minimal plane in H3. Hence, this gives a counterexample to Calabi–Yau conjecture for embedded minimal surfaces in negative curvature case.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue5
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.sponsorshipTurkish Academy of Sciences (TÜBA)-GEBİP award
dc.description.versionAuthor's final manuscript
dc.description.volume13
dc.identifier.doi10.1142/S0219199711004415
dc.identifier.eissn1793-6683
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00019
dc.identifier.issn0219-1997
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-80055067004
dc.identifier.urihttps://doi.org/10.1142/S0219199711004415
dc.identifier.wos296624200001
dc.keywordsCalabi–Yau conjecture
dc.keywordsProperly embedded
dc.keywordsMinimal surfaces
dc.keywordsHyperbolic space
dc.language.isoeng
dc.publisherWorld Scientific Publishing
dc.relation.grantnoIRG-226062
dc.relation.grantno109T685
dc.relation.ispartofCommunications in Contemporary Mathematics
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1050
dc.subjectMathematics
dc.titleNon-properly embedded minimal planes in hyperbolic 3-space
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorCoşkunüzer, Barış
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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