Schouten and Vranceanu Connections on Golden Manifolds

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dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.authoridGok, Mustafa/0000-0001-6346-0758
dc.authorwosidKILIC, Erol/ABH-7615-2020
dc.contributor.authorGok, Mustafa
dc.contributor.authorKeles, Sadik
dc.contributor.authorKilic, Erol
dc.date.accessioned2024-08-04T21:01:04Z
dc.date.available2024-08-04T21:01:04Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we study two special linear connections, which are called Schouten and Vranceanu connections, defined by an arbitrary fixed linear connection on a differentiable manifold admitting a golden structure. The golden structure defines two naturally complementary projection operators splitting the tangent bundle into two complementary parts, so there are two globally complementary distributions of the tangent bundle. We examine the conditions of parallelism for both of the distributions with respect to the fixed linear connection under the assumption that it is either the Levi-Civita connection or is not. We investigate the concepts of half parallelism and anti half parallelism for each of the distributions with respect to the Schouten and Vranceanu connections. We research integrability conditions of the golden structure and its associated distributions from the viewpoint of the Schouten and Vranceanu connections. Finally, we analyze the notion of geodesicity on golden manifolds in terms of the Schouten and Vranceanu connections.en_US
dc.identifier.endpage181en_US
dc.identifier.issn1307-5624
dc.identifier.issue2en_US
dc.identifier.startpage169en_US
dc.identifier.urihttps://hdl.handle.net/11616/104075
dc.identifier.volume12en_US
dc.identifier.wosWOS:000493100800003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherInt Electronic Journal Geometryen_US
dc.relation.ispartofInternational Electronic Journal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectgolden structureen_US
dc.subjectSchouten connectionen_US
dc.subjectVranceanu connectionen_US
dc.subjectparallelismen_US
dc.subjecthalf parallelismen_US
dc.subjectanti half parallelismen_US
dc.subjectintegrabilityen_US
dc.subjectgeodesicen_US
dc.titleSchouten and Vranceanu Connections on Golden Manifoldsen_US
dc.typeArticleen_US

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