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

Year 2021, Volume: 39 Issue: 2, 177 - 183, 02.06.2021

Habil Fattayev1 Haşim Çayır

Abstract

In this paper we consider the bundle of (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 (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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