Kotanjant Demette Modified Riemannian Extension’a Göre Projektif Vektör Alanları

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

Anahtar Kelimeler:

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

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.,

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