Two theorems on invariant submanifolds of product Riemannian manifold

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dc.authoridAtceken, Mehmet/0000-0002-1242-4359
dc.authorwosidAtceken, Mehmet/AAZ-2014-2021
dc.contributor.authorAtçeken, M
dc.contributor.authorKeles, S
dc.date.accessioned2024-08-04T20:31:10Z
dc.date.available2024-08-04T20:31:10Z
dc.date.issued2003
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper we discuss the distributions of a Riemannian almost-product structure in product Riemannian manifold. We show that an invariant submanifold of a product Riemannian manifold has a Riemannian almost-product structure, and investigate properties of integral manifold of distributions of Riemannian almost-product structure, i.e., pseudo-umbilical submanifold and curvature-invariant submanifold.en_US
dc.identifier.endpage1044en_US
dc.identifier.issn0019-5588
dc.identifier.issn0975-7465
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-6344231873en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1035en_US
dc.identifier.urihttps://hdl.handle.net/11616/94774
dc.identifier.volume34en_US
dc.identifier.wosWOS:000185360800004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Nat Sci Acaden_US
dc.relation.ispartofIndian Journal of Pure & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectproduct Riemannian manifolden_US
dc.subjectcurvature-invariant submanifolden_US
dc.subjectpseudo-umbilical submanifolden_US
dc.subjectvertical and horizontal distributionsen_US
dc.titleTwo theorems on invariant submanifolds of product Riemannian manifolden_US
dc.typeArticleen_US

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