Metrics and Connections on the Bundle of Affinor Frames

• 作者: Habil FATTAYEV Arif SALIMOV
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 121-134
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11401-021-0248-7

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 connec-tion 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.