On a Study of the Totally Umbilical Semi-Invariant Submanifolds of Golden Riemannian Manifolds

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dc.authorwosidyıldırım, cumali/AAA-6007-2021
dc.contributor.authorErdogan, Feyza Esra
dc.contributor.authorYildirim, Cumali
dc.date.accessioned2024-08-04T20:10:30Z
dc.date.available2024-08-04T20:10:30Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe Golden Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Golden Structure will be called a Golden Riemannian manifold. Precisely, we can say that an (1,1)-tensor field (P) over bar on a m-dimensional Riemann manifold (<(M,<(g)over bar>)over bar>) is a Golden structure if it satisfies the equation (P) over bar (2) = (P) over bar + Id, where Id is identity map on M. Furthermore, g((P) over bar, (X) over bar, (Y) over bar) = (g) over bar((X) over bar,(P) over bar (Y) over bar), the Riemannian metric is called (P) over bar -compatible and ((M) over bar,(g) over bar,(P) over bar) is named a Golden Riemannian manifold. The main purpose of the present paper is to study the geometry of Riemannian manifolds endowed with Golden structures. For this purpose, we study totally umbilical semi-invariant submanifold of the Golden Riemannian manifolds. Also, we obtain integrability conditions of the distributions and investigate the geometry of foliations.en_US
dc.identifier.doi10.2339/politeknik.389629
dc.identifier.endpage970en_US
dc.identifier.issn1302-0900
dc.identifier.issn2147-9429
dc.identifier.issue4en_US
dc.identifier.startpage967en_US
dc.identifier.trdizinid297186en_US
dc.identifier.urihttps://doi.org/10.2339/politeknik.389629
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/297186
dc.identifier.urihttps://hdl.handle.net/11616/92814
dc.identifier.volume21en_US
dc.identifier.wosWOS:000448383600026en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherGazi Univen_US
dc.relation.ispartofJournal of Polytechnic-Politeknik Dergisien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSemi-invariant submanifoldsen_US
dc.subjectGolden Riemannian manifoldsen_US
dc.subjecttotally umbilical submanifoldsen_US
dc.titleOn a Study of the Totally Umbilical Semi-Invariant Submanifolds of Golden Riemannian Manifoldsen_US
dc.typeArticleen_US

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