Kotanjant Demette Modified Riemannian Extension’a Göre Projektif Vektör Alanları

Year 2019, Volume: 9 Issue: 1, 389 - 396, 01.03.2019

Lokman Bilen

https://doi.org/10.21597/jist.462637

Cited By: 1

Abstract

, boyutlu  Riemannian manifoldunun kotanjant
demeti olsun. Bu çalışmadaki amacımız kotanjant demette modifiye edilmiş Riemann genişlemesine
göre fibre koruyan projektif vektör
alanlarının karakterizasyonunu yapmaktır. 

Keywords

Fibre-koruyan vektör alanları , infinitesimal projektif dönüşümler , Riemannian metriği , modified Riemannian extension , adapte olmuş çatı

Projective Vector Fields on the Cotangent Bundle with Modified Riemannian Extension

Abstract

Let  be the cotangent bundle of an dimensional Riemannian manifold . The purpose of the present paper is give a characterization of
fibre-preserving projective vector fields with respect to modified Riemannian
extension.

Keywords

Fibre-preserving vector fields , infinitesimal projective transformations , Riemannian metric , modified Riemannian extension , adapted frame.

References

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