Kotanjant Demette Modified Riemannian Extension’a Göre Projektif Vektör Alanları

Öz

, 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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

1. Gezer A, 2011. On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric, Proc. Est. Acad. Sci., 60(3): 149–157.
2. Gezer A, Bilen L, Çakmak A, 2015. Properties of modified Riemannian extensions, Zh. Mat. Fiz. Anal. Geom., 11(2): 159–173.
3. Hasegawa I, Yamauchi K, 2003. Infinitesimal projective transformations on tangent bundles with lift connection, Scientiae Mathematicae Japonicae., 57(3): 469-483, e7, 489-503.
4. Yamauchi K, 1998. On infinitesimal projective transformations of the tangent bundles with the complete lift metric over Riemannian manifolds, Ann Rep. Asahikawa. Med. Coll., 19: 49-55.
5. Yamauchi K, 1999. On infinitesimal projective transformations of the tangent bundles with the metric II+III, Ann Rep. Asahikawa. Med. Coll., (20): 67-72.
6. Yano K, Ishihara S, 1973. Tangent and Cotangent Bundles, Marcel Dekker, Inc, New York.