Geodesics of Vertical Rescaled Generalized Cheeger-Gromoll Metric on Tangent Bundle

Abderrahim Z

Published on: 2020-11-20

Abstract

In this paper, we study the geodesics on the tangent bundle with respect to the vertical rescaled generalized Cheeger-Gromoll metric. Afterward, we establish necessary and sufficient conditions under which a curve be geodesic with respect to this metric.

Subject Classification: 53C22, 58E10, 53C20, 53A45.