On level hypersurfaces of the complete lift of a submersion
Yükleniyor...
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ovidius Univ Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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).
Açıklama
Anahtar Kelimeler
Level surfaces, tangent bundle, prolongation, complete lift
Kaynak
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
17
Sayı
2
Künye
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.
