Publication:
Almost α-paracosymplectic manifolds

dc.contributor.authorKüpeli, Erken
dc.contributor.authorDacko, P.
dc.contributor.authorMurathan, Cengiz
dc.contributor.buuauthorKüpeli, Erken
dc.contributor.buuauthorDacko, P.
dc.contributor.buuauthorMURATHAN, CENGİZHAN
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0003-3054-8213
dc.contributor.researcheridABH-3658-2020
dc.contributor.researcheridETS-4402-2022
dc.contributor.researcheridESL-5172-2022
dc.date.accessioned2024-08-02T07:19:57Z
dc.date.available2024-08-02T07:19:57Z
dc.date.issued2015-02-01
dc.description.abstractThis paper is a complete study of almost alpha-paracosymplectic manifolds. Basic properties of such manifolds are obtained and general curvature identities are proved. The manifolds with para-Kaehler leaves are characterized. It is proved that, for dimensions greater than 3, almost alpha-paracosymplectic manifolds are locally conformal to almost paracosymplectic manifolds and locally D-homothetic to almost para-Kenmotsu manifolds. Furthermore, it is proved that characteristic (Reeb) vector field xi is harmonic on almost alpha-para-Kenmotsu manifold if and only if it is an eigenvector of the Ricci operator. It is showed that almost alpha-para-Kenmotsu (kappa, mu, nu)-space has para-Kaehler leaves. 3-dimensional almost alpha-para-Kenmotsu manifolds are classified. As an application, it is obtained that 3-dimensional almost alpha-para-Kenmotsu manifold is (kappa, mu, nu)-space on an every open and dense subset of the manifold if and only if Reeb vector field is harmonic. Furthermore, examples are constructed.
dc.identifier.doi10.1016/j.geomphys.2014.09.011
dc.identifier.eissn1879-1662
dc.identifier.endpage51
dc.identifier.issn0393-0440
dc.identifier.startpage30
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2014.09.011
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0393044014002149
dc.identifier.urihttps://arxiv.org/pdf/1402.6930
dc.identifier.urihttps://hdl.handle.net/11452/43655
dc.identifier.volume88
dc.identifier.wos000348087200003
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherElsevier
dc.relation.journalJournal of Geometry and Physics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectVector-fields
dc.subjectCosymplectic manifolds
dc.subjectHarmonicity
dc.subjectAlmost paracontact metric manifold
dc.subjectAlmost paracosymplectic manifold
dc.subjectAlmost para-kenmotsu manifold
dc.subjectPara-kaehler manifold
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics, applied
dc.subjectMathematics
dc.subjectPhysics, mathematical
dc.subjectPhysics
dc.titleAlmost α-paracosymplectic manifolds
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication84bde251-4d9e-4e01-bf1e-600b240a5d09
relation.isAuthorOfPublication.latestForDiscovery84bde251-4d9e-4e01-bf1e-600b240a5d09

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