Self-dual metrics on non-simply connected 4-manifolds

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We construct self-dual (SD) but not locally conformally flat (LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with bounded or unbounded Betti numbers and Euler characteristic. These metrics have negative scalar curvature. As an application, this is used to address Remark 4.79 of [1]. (C) 2012 Elsevier B.V. All rights reserved.

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dc.contributor.authorKalafat, Mustafa
dc.contributor.authorOzan, Yildiray
dc.contributor.authorArguez, Hulya
dc.date.accessioned2026-10-28T14:58:47.248866514Z
dc.date.available2026-10-28T14:58:47.248866514Z
dc.date.issued2013-02
dc.description.abstractWe construct self-dual (SD) but not locally conformally flat (LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with bounded or unbounded Betti numbers and Euler characteristic. These metrics have negative scalar curvature. As an application, this is used to address Remark 4.79 of [1]. (C) 2012 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.geomphys.2012.08.005
dc.identifier.endpage82
dc.identifier.issn0393-0440
dc.identifier.startpage79
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/4007
dc.identifier.volume64
dc.identifier.wosWOS:000314558600007
dc.language.isoen
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofJOURNAL OF GEOMETRY AND PHYSICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSelf-dual metrics
dc.subject4-manifolds
dc.subjectScalar curvature
dc.subjectNon-simply connected manifolds
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics, Mathematical
dc.subject.classificationPhysics
dc.subject.otherSURFACES
dc.titleSelf-dual metrics on non-simply connected 4-manifolds
dc.typeArticle
rdl.citation.openalex6
rdl.citation.wos3
rdl.oa.statusbronze
rdl.oa.urlhttps://www.sciencedirect.com/science/article/pii/S0393044012001568/pdf
rdl.scopus.quartileQ2
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)