Lifts of connections to the bundle of 11 type tensor frames
1Simons Center for Geometry and Physics
Sigma Journal of Engineering and Natural Sciences 2021, Vol. 39, Issue 2, pp. 177-183; doi.org/10.14744/sigma.2021.00007
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: Bundle of (1; 1) type tensor frame; linear connection; adapted frame; horizontal lift; complete lift; geodesic line; Sasaki metric; metrical connection
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FATTAYEV, H.; ÇAYIR, H. Lifts of connections to the bundle of 11 type tensor frames. Sigma Journal of Engineering and Natural Sciences 2021, Vol. 39, pp. 177-183. https://doi.org/10.14744/sigma.2021.00007
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