ON THE BEHAVIOUR OF TOTAL UMBILICAL FIBERS UNDER QUARTER-SYMMETRIC NON-METRIC CONNECTIONS IN RIEMANNIAN SUBMERSIONS

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dc.contributor.authorKaratas, Esra
dc.contributor.authorZeren, Semra
dc.contributor.authorAltin, Mustafa
dc.date.accessioned2026-04-04T13:30:46Z
dc.date.available2026-04-04T13:30:46Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractIn this study, we investigate the geometric properties of Riemannian submersions endowed with quarter-symmetric non-metric connections. We focus specifically on the M-projective curvature tensor and the conformal curvature tensor, providing an analysis of the behaviour of these tensors. We emphasize how these curvature tensors interact with totally umbilical fibers in the setting of Riemannian submersions. We explicitly compute the relevant curvature tensors and examine how the totally umbilical condition influences their relations. This clarifies the connections among the tensors and shows how they affect the geometric structure of the submersions.
dc.identifier.doi10.46939/J.Sci.Arts-25.4-a12
dc.identifier.endpage836
dc.identifier.issn1844-9581
dc.identifier.issn2068-3049
dc.identifier.issue4
dc.identifier.orcid0000-0003-0083-3507
dc.identifier.startpage809
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-25.4-a12
dc.identifier.urihttps://hdl.handle.net/11616/108369
dc.identifier.wosWOS:001673754100012
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEditura Bibliotheca-Bibliotheca Publ House
dc.relation.ispartofJournal of Science and Arts
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectM-projective curvature tensor
dc.subjectconformal curvature tensor
dc.subjectRiemannian submersion
dc.subjectQuarter-symmetric non-metric connection
dc.subjecttotally umbilical fibers
dc.titleON THE BEHAVIOUR OF TOTAL UMBILICAL FIBERS UNDER QUARTER-SYMMETRIC NON-METRIC CONNECTIONS IN RIEMANNIAN SUBMERSIONS
dc.typeArticle

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