RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS

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dc.contributor.authorMeric, Semsi Eken
dc.contributor.authorKilic, Erol
dc.date.accessioned2026-04-04T13:30:41Z
dc.date.available2026-04-04T13:30:41Z
dc.date.issued2024
dc.departmentİnönü Üniversitesi
dc.description.abstractIn the present paper, we study a Riemannian submersion pi from a Riemann soliton (M1, g,xi, lambda) onto a Riemannian manifold (M2, g ' ). We first calculate the sectional curvatures of any fibre of pi and the base manifold M2. Using them, we give some necessary and sufficient conditions for which the Riemann soliton (M1, g, xi, lambda) is shrinking, steady or expanding. Also, we deal with the potential field xi of such a Riemann soliton is conformal and obtain some characterizations about the extrinsic vertical and horizontal sectional curvatures of pi.
dc.identifier.doi10.57016/MV-o1hsah21
dc.identifier.endpage265
dc.identifier.issn0025-5165
dc.identifier.issn2406-0682
dc.identifier.issue4
dc.identifier.orcid0000-0003-2783-1149
dc.identifier.scopus2-s2.0-85207499054
dc.identifier.scopusqualityQ4
dc.identifier.startpage257
dc.identifier.urihttps://doi.org/10.57016/MV-o1hsah21
dc.identifier.urihttps://hdl.handle.net/11616/108293
dc.identifier.volume76
dc.identifier.wosWOS:001357983900003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMath Soc Serbia-Drustvo Matematicara Srbije
dc.relation.ispartofMatematicki Vesnik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectRiemannian submersion
dc.subjectRiemann soliton
dc.subjectsectional curvature.
dc.titleRIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS
dc.typeArticle

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