Metrics and Connections on the Bundle of Affinor Frames

作     者：Habil FATTAYEV Arif SALIMOV Habil FATTAYEV;Arif SALIMOV

作者机构：Department of Algebra and GeometryFaculty of Mechanics and MathematicsBaku State UniversityBakuAzerbaijan 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2021年第42卷第1期

页      面：121-134页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Bundle of affinor frames Riemannian manifold Sasaki metric Horizontal lift Geodesic curve 

摘      要：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.