Metrics and Connections on the Bundle of Affinor Frames |
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| Authors: | Habil FATTAYEV Arif SALIMOV |
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| Affiliation: | Department of Algebra and Geometry, Faculty of Mechanics and Mathematics, Baku State University,Baku, Azerbaijan.; Corresponding author. Department of Algebra and Geometry, Faculty of Mechanics and Mathematics,Baku State University, Baku, Azerbaijan. |
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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. |
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| Keywords: | Bundle of affinor frames Riemannian manifold Sasaki metric Horizontal lift Geodesic curve |
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