Warped product submanifolds of Lorentzian paracosymplectic manifolds

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dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.authorwosidKILIC, Erol/ABH-7615-2020
dc.contributor.authorPerktas, Selcen Yuksel
dc.contributor.authorKilic, Erol
dc.contributor.authorKeles, Sadik
dc.date.accessioned2024-08-04T20:43:04Z
dc.date.available2024-08-04T20:43:04Z
dc.date.issued2012
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant submanifold in the form M = M-inverted perpendicular x (f) M-perpendicular to of a Lorentzian paracosymplectic manifold such that the characteristic vector field is normal to M is a usual Riemannian product manifold where totally geodesic and totally umbilical submanifolds of warped product are invariant and anti-invariant, respectively. We prove that the distributions involved in the definition of a warped product semi-invariant submanifold are always integrable. A necessary and sufficient condition for a semi-invariant submanifold of a Lorentzian paracosymplectic manifold to be warped product semi-invariant submanifold is obtained. We also investigate the existence and nonexistence of warped product semi-slant and warped product anti-slant submanifolds in a Lorentzian paracosymplectic manifold.en_US
dc.identifier.doi10.1007/s40065-012-0037-y
dc.identifier.endpage393en_US
dc.identifier.issn2193-5343
dc.identifier.issn2193-5351
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85016905184en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage377en_US
dc.identifier.urihttps://doi.org/10.1007/s40065-012-0037-y
dc.identifier.urihttps://hdl.handle.net/11616/97772
dc.identifier.volume1en_US
dc.identifier.wosWOS:000215139200010en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofArabian Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[No Keywords]en_US
dc.titleWarped product submanifolds of Lorentzian paracosymplectic manifoldsen_US
dc.typeArticleen_US

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