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

Year 2020, , 595 - 600, 01.03.2020

Rabia Çakan Akpınar

https://doi.org/10.21597/jist.622820

Abstract

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

Keywords

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

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

Abstract

Bu çalışmada, 𝑇∗𝑀 kotanjant demette Riemann konneksiyonun g-liftine göre burulma tensörü
ve geodezikler incelenir. İlk olarak, 𝑇∗𝑀 kotanjant demet üzerindeki Riemann konneksiyonun g-liftinin
bileşenleri kullanılarak  Riemann konneksiyonun g-liftine göre burulma tensor bileşenleri elde edilir.
Böylece  Riemann konneksiyonun g-liftine göre burulma tensörü belirlenir. Son olarak,  Riemann
konneksiyonun g-liftine göre 𝑇∗𝑀 kotanjant demet üzerindeki geodezikler çalışılır.

Keywords

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

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