On Level Hypersurfaces of the Vertical Lift of a Submersion

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Tarih

2024

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

Künye