New Curvature Tensors along Riemannian Submersions

dc.contributor.authorAyar, Gülhan
dc.contributor.authorAkyol M. A.
dc.date.accessioned2026-01-10T13:00:39Z
dc.date.available2026-01-10T13:00:39Z
dc.date.issued2020
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn 1966, B. O’Neill [The fundamental equations of a submersion, Michigan Math. J., Volume 13, Issue 4 (1966), 459-469.] obtained some fundamental equations and curvature relations between the total space, the base space and the fibres of a submersion. In the present paper, we define new curvature tensors along Riemannian submersions such as Weyl projective curvature tensor, concircular curvature tensor, conharmonic curvature tensor, conformal curvature tensor and M?projective curvature tensor, respectively. Finally, we obtain some results in case of the total space of Riemannian submersions has umbilical fibres for any curvature tensors mentioned by the above.
dc.identifier.doi10.18514/MMN.2023.4118
dc.identifier.endpage1161
dc.identifier.issue24
dc.identifier.startpage1184
dc.identifier.urihttps://doi.org/10.18514/MMN.2023.4118
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22174
dc.identifier.volume3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20260110
dc.subjectRiemannian submersion
dc.subjectWeyl projective curvature tensor
dc.subjectM-projective curvature tensor
dc.subjectconcircular curvature tensor
dc.subjectconformal curvature tensor
dc.subjectconharmonic curvature tensor.
dc.titleNew Curvature Tensors along Riemannian Submersions
dc.typeArticle

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