On Level Hypersurfaces of the Vertical Lift of a Submersion
[ X ]
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Association of Mathematicians (MATDER)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Suppose 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.
Açıklama
Anahtar Kelimeler
Level surfaces; tangent bundle; vertical lift
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
16
Sayı
1