Geodesics of Twisted-Sasaki Metric

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Mathematical Sciences and Applications E-Notes
Volume:9 Issue:3
Geodesics of Twisted-Sasaki Metric

Geodesics of Twisted-Sasaki Metric

Authors : Zagane ABDERRAHIM

Pages : 124-132

Doi:10.36753/mathenot.710119

View : 24 | Download : 8

Publication Date : 2021-09-30

Article Type : Research Paper

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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