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| Metrics and Connections on the Bundle of Affinor Frames |
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Citation： |
Habil FATTAYEV,Arif SALIMOV.Metrics and Connections on the Bundle of Affinor Frames[J].Chinese Annals of Mathematics B,2021,42(1):121~134 |
| Page view： 696
Net amount： 634 |
Authors： |
Habil FATTAYEV; Arif SALIMOV |
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| Abstract： |
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. |
Keywords： |
Bundle of affinor frames, Riemannian manifold, Sasaki metric, Horizontal lift,Geodesic curve |
Classification： |
53C05; 53B20. |
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