Kotanjant Demette Riemann Konneksiyonun g-liftine göre Burulma Tensörü ve Geodezikler

Bu çalışmada, ?∗? kotanjant demette Riemann konneksiyonun g-liftine göre burulma tensörüve geodezikler incelenir. İlk olarak, ?∗? kotanjant demet üzerindeki Riemann konneksiyonun g-liftininbileşenleri kullanılarak  Riemann konneksiyonun g-liftine göre burulma tensor bileşenleri elde edilir.Böylece  Riemann konneksiyonun g-liftine göre burulma tensörü belirlenir. Son olarak,  Riemannkonneksiyonun g-liftine göre ?∗? kotanjant demet üzerindeki geodezikler çalışılır.

Anahtar Kelimeler:

Kotanjant Demet, Konneksiyon, Burulma Tensörü, Jeodezik, g-lift

Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle

n this study, the geodesics and torsion tensor according to g-lift of Riemannianconnection  on cotangent bundle ?∗? are investigated. Firstly, using the components of g-lift ofRiemannian connection  on cotangent bundle ?∗? the components of torsion tensor according to gliftof Riemannian connection  are obtained. So the torsion tensor according to g-lift of Riemannianconnection  are determined. Finally, geodesics on cotangent bundle ?∗? according to g-lift ofRiemannian connection  are studied.

Keywords:

Cotangent Bundle, Connection, Torsion Tensor, Geodesic, g-lift,

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