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T-CURVATURE AND C-BOCHNER CURVATURE ON LP-SASAKIAN MANIFOLDS ADMITTING A GENERAL CONNECTION

ArticleAçık Erişim

Özet

In the present work, it is proved that LP-Sasakian manifolds which are T-flat, quasi-T-flat, ξ-T-flat, ϕ-T-flat, T-semi-symmetric,ϕ- T-Ricci recurrent, C-Bochner flat, or satisfy T ·S = 0, are generalized η-Einstein manifolds. The T-curvature and C-Bochner curvature tensors are defined with respect to a general connection ∇ which includes the quarter-symmetric metric, Schouten–van Kampen, Tanaka–Webster, and Zamkovoy connections. © The Kangwon-Kyungki Mathematical Society, 2026.

Anahtar Kelimeler

LP-Sasakian manifoldquarter-symmetric metric connectionSchouten–van Kampen connectionTanaka–Webster connectionZamkovoy connection
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/10164Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.11568/kjm.2026.34.2.287Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAltunbaş, Murat
dc.contributor.authorAkpınar, Ayşe Karanlık
dc.date.accessioned2026-10-18T20:25:25.507492639Z
dc.date.available2026-10-18T20:25:25.507492639Z
dc.date.issued2026
dc.description.abstractIn the present work, it is proved that LP-Sasakian manifolds which are T-flat, quasi-T-flat, ξ-T-flat, ϕ-T-flat, T-semi-symmetric,ϕ- T-Ricci recurrent, C-Bochner flat, or satisfy T ·S = 0, are generalized η-Einstein manifolds. The T-curvature and C-Bochner curvature tensors are defined with respect to a general connection ∇ which includes the quarter-symmetric metric, Schouten–van Kampen, Tanaka–Webster, and Zamkovoy connections. © The Kangwon-Kyungki Mathematical Society, 2026.
dc.description.sponsorshipThis work was supported by the Scientific and Technological Research Council of T\u00FCrkiye (T\u00DCB\u0130TAK) via the T\u00DCB\u0130TAK B\u0130DEB 2211-A General Domestic Doctorate Scholarship Program awarded to the second author. The authors would like to thank the referees for useful comments and suggestions that improved the paper.
dc.identifier.doi10.11568/kjm.2026.34.2.287
dc.identifier.eissn2288-1433
dc.identifier.endpage300
dc.identifier.issn1976-8605
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105045804456
dc.identifier.startpage287
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/10164
dc.identifier.volume34
dc.identifier.wosWOS:001818172000013
dc.language.isoen
dc.publisherKangwon Kyungki Mathematical Society
dc.relation.ispartofKorean Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLP-Sasakian manifold
dc.subjectquarter-symmetric metric connection
dc.subjectSchouten–van Kampen connection
dc.subjectTanaka–Webster connection
dc.subjectZamkovoy connection
dc.titleT-CURVATURE AND C-BOCHNER CURVATURE ON LP-SASAKIAN MANIFOLDS ADMITTING A GENERAL CONNECTION
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)