Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten-Van Kampen Connection

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dc.contributor.authorYildirim, Mustafa
dc.contributor.authorBeyendi, Selahattin
dc.contributor.authorAyar, Gulhan
dc.contributor.authorAktan, Nesip
dc.date.accessioned2026-04-04T13:31:12Z
dc.date.available2026-04-04T13:31:12Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractThis research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten-van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introducing the notion of zeta-Q flat and phi-Q flat manifolds and novel tensor conditions, such as Q(xi,X)Q=0, Q(xi,X)R=0, Q(xi,X)C=0, Q(xi,X)S=0, Q(xi,X)H=0, and Q(xi,X)P=0, with the Schouten-van Kampen connection. To validate some of our results, we constructed a non-trivial example of Kenmotsu manifolds endowed with the Schouten-van Kampen connection.
dc.identifier.doi10.3390/axioms14070498
dc.identifier.issn2075-1680
dc.identifier.issue7
dc.identifier.orcid0000-0002-6825-4563
dc.identifier.orcid0000-0002-1018-4590
dc.identifier.orcid0000-0002-7885-1492
dc.identifier.orcid0000-0002-1037-6410
dc.identifier.urihttps://doi.org/10.3390/axioms14070498
dc.identifier.urihttps://hdl.handle.net/11616/108653
dc.identifier.volume14
dc.identifier.wosWOS:001535251700001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofAxioms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectKenmotsu manifolds
dc.subjectSchouten van-Kampen connection
dc.subjectQ-curvature tensor
dc.titleGeometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten-Van Kampen Connection
dc.typeArticle

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