Geodesics of Twisted-Sasaki Metric

Year 2021, Volume: 9 Issue: 3, 124 - 132, 30.09.2021

Zagane Abderrahım

https://doi.org/10.36753/mathenot.710119

https://izlik.org/JA52GB68BA

Abstract

The main purpose of the paper is to investigate geodesics on the tangent bundle with respect to the twisted-Sasaki metric. We establish a necessary and sufficient conditions under which a curve be a geodesic respect. Afterward, we also construct some examples of geodesics.

Keywords

Tangent Bundle , horizontal lift , vertical lift , twisted-Sasaki metric , geodesics

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