On Level Hypersurfaces of the Vertical Lift of a Submersion

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dc.contributor.authorYıldırım, Mehmet
dc.contributor.authorÖzkan, Ayşenur
dc.date.accessioned2025-01-21T16:28:08Z
dc.date.available2025-01-21T16:28:08Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractSuppose that (M, G) be a Riemannian manifold and f: M ? ? be a submersion. Then the vertical lift of f, fv: T M ? ? defined by fv = f ? ? is also a submersion. This interesting case, differently from [10], leads us to investigation of the level hypersurfaces of fv in tangent bundle T M. In this paper we obtained some differential geometric relations between level hypersurfaces of f and fv. In addition, we noticed that, unlike [13], a level hypersurface of fv is always lightlike, i.e., it doesn’t depend on any additional condition. © MatDer.
dc.identifier.doi10.47000/tjmcs.1397889
dc.identifier.endpage284
dc.identifier.issn2148-1830
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85202540770
dc.identifier.scopusqualityN/A
dc.identifier.startpage272
dc.identifier.trdizinid1247416
dc.identifier.urihttps://doi.org/10.47000/tjmcs.1397889
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1247416
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23492
dc.identifier.volume16
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAssociation of Mathematicians (MATDER)
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectLevel surfaces; tangent bundle; vertical lift
dc.titleOn Level Hypersurfaces of the Vertical Lift of a Submersion
dc.typeArticle

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