Invariant Submanifolds of Paracontact Metric ((kappa)over-tilde not equal-1, (mu)over-tilde)-Manifolds

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dc.authorid0000-0003-4471-3291en_US
dc.contributor.authorErken, İrem Küpeli
dc.date.accessioned2021-03-20T20:09:25Z
dc.date.available2021-03-20T20:09:25Z
dc.date.issued2020
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe principal objective of this paper is to answer positively the open question whether every invariant submanifold of a paracontact metric ((kappa) over tilde, (mu) over tilde)-manifold is totally geodesic. Main result is that any invariant submanifold of a paracontact metric ((kappa) over tilde, (mu) over tilde)-manifold, (kappa) over tilde not equal -1, is always totally geodesic. Additionally, if (kappa) over tilde not equal - 1 and (mu) over tilde not equal 0 the result can be partially reversed, which shows that the totally geodesic submanifold is invariant under the flow of characteristic vector field is tangent to the submanifold.en_US
dc.identifier.doi10.1007/s00025-020-01217-0en_US
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttp://doi.org/10.1007/s00025-020-01217-0
dc.identifier.urihttps://hdl.handle.net/20.500.12885/410
dc.identifier.volume75en_US
dc.identifier.wosWOS:000542647000002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorErken, İrem Küpeli
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofResults In Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectParacontact metric manifolden_US
dc.subjectinvariant submanifoldsen_US
dc.subject(kappa, mu)-manifolden_US
dc.titleInvariant Submanifolds of Paracontact Metric ((kappa)over-tilde not equal-1, (mu)over-tilde)-Manifoldsen_US
dc.typeArticleen_US

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