Metrics and Connections on the Bundle of Affinor Frames
Habil Fattayev , Arif Salimov
Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (1) : 121 -134.
Metrics and Connections on the Bundle of Affinor Frames
In this paper the authors consider the bundle of affinor frames over a smooth manifold, define the Sasaki metric on this bundle, and investigate the Levi-Civita connection of Sasaki metric. Also the authors determine the horizontal lifts of symmetric linear connection from a manifold to the bundle of affinor frames and study the geodesic curves corresponding to the horizontal lift of the linear connection.
Bundle of affinor frames / Riemannian manifold / Sasaki metric / Horizontal lift / Geodesic curve
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