COMPACT COMPLEX SURFACES OF LOCALLY CONFORMALLY FLAT TYPE

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We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surface has to be minimal. Moreover, we give a list of possibilities of such surfaces.

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AlanDeğerDil
dc.contributor.authorKalafat, Mustafa
dc.contributor.authorKoca, Caner
dc.date.accessioned2026-10-28T14:59:15.387037733Z
dc.date.available2026-10-28T14:59:15.387037733Z
dc.date.issued2016
dc.description.abstractWe show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surface has to be minimal. Moreover, we give a list of possibilities of such surfaces.
dc.description.sponsorshipTUBITAK (Turkish Science and Research Council) [113F159]
dc.identifier.endpage1139
dc.identifier.issn0362-1588
dc.identifier.issue4
dc.identifier.startpage1127
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/4388
dc.identifier.volume42
dc.identifier.wosWOS:000397209200005
dc.language.isoen
dc.publisherUNIV HOUSTON
dc.relation.ispartofHOUSTON JOURNAL OF MATHEMATICS
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subject.classificationMathematics
dc.subject.otherMETRICS
dc.titleCOMPACT COMPLEX SURFACES OF LOCALLY CONFORMALLY FLAT TYPE
dc.typeArticle
rdl.citation.wos1
rdl.oa.statusclosed
rdl.scopus.quartileQ3
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)