On level hypersurfaces of the complete lift of a submersion
dc.contributor.author | Yıldırım, Mehmet | |
dc.date.accessioned | 2020-06-25T17:48:42Z | |
dc.date.available | 2020-06-25T17:48:42Z | |
dc.date.issued | 2009 | |
dc.department | Kırıkkale Üniversitesi | |
dc.description.abstract | Suppose that (M, G) is a Riemannian manifold and f : M -> R is a submersion. Then the complete lift of f, f(c) : TM -> R defined by f(c) = partial derivative f/partial derivative x(i) y(i) is also a submersion. This interesting case leads us to the investigation of the level hypersurfaces of f(c) as a submanifold of tangent bundle TM. In addition, we prolonge the level hypersurfaces of f to (N) over bar = (f(c))(-1)(0). Also, under the condition (del) over capf is a constant, we show that (N) over bar has a light like structure with induced metric (G) over bar from G(c). | en_US |
dc.identifier.citation | Yıldırım, M. (2009). On level hypersurfaces of the complete lift of a submersion. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 17(2), 231–252. | en_US |
dc.identifier.endpage | 252 | en_US |
dc.identifier.issn | 1224-1784 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 231 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12587/4534 | |
dc.identifier.volume | 17 | en_US |
dc.identifier.wos | WOS:000272198000021 | |
dc.identifier.wosquality | N/A | |
dc.indekslendigikaynak | Web of Science | |
dc.language.iso | en | |
dc.publisher | Ovidius Univ Press | en_US |
dc.relation.ispartof | Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Level surfaces | en_US |
dc.subject | tangent bundle | en_US |
dc.subject | prolongation | en_US |
dc.subject | complete lift | en_US |
dc.title | On level hypersurfaces of the complete lift of a submersion | en_US |
dc.type | Article |
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