Lifts of connections to the bundle of (1,1) type tensor frames

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:39 Issue:2
Lifts of connections to the bundle of (1,1) type tensor frames

Lifts of connections to the bundle of (1,1) type tensor frames

Authors : Habil FATTAYEV1, Haşim ÇAYIR

Pages : 177-183

View : 30 | Download : 11

Publication Date : 2021-06-02

Article Type : Research Paper

Abstract :In this paper we consider the bundle of insert ignore into journalissuearticles values(1,1); type tensor frames over a smooth manifold, define the horizontal and complete lifts of symmetric linear connection into this bundle. Also we study the properties of the geodesic lines corresponding to the complete lift of the linear connection and investigate the relations between Sasaki metric and lifted connections on the bundle of insert ignore into journalissuearticles values(1,1); type tensor frames.
Keywords : linear connection, adapted frame, horizontal lift, complete lift, geodesic line, Sasaki metric, metrical connection, Bundle of 1, 1, type tensor frame,

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