Some Notes on Geodesics of Vertical Rescaled Berger Deformation Metric in Tangent Bundle

Year 2022, Volume: 14 Issue: 1, 8 - 15, 30.06.2022

Abderrahım Zagane

https://doi.org/10.47000/tjmcs.1079349

Abstract

In this paper, we study the geodesics on the tangent bundle $TM$ with respect to the vertical rescaled Berger deformation metric over an anti-paraK\"{a}hler manifold $(M, \varphi, g)$. In this case, we establish the necessary and sufficient conditions under which a curve be geodesic with respect to this. Finally, we also present certain examples of geodesic.

Keywords

Horizontal lift and vertical lift, tangent bundle, vertical rescaled Berger deformation metric, anti-paraHermitian metric, geodesics

Thanks

Dear Editor-in-Chief, Thank you for accepting submit article our manuscript " Some notes on geodesics of vertical rescaled Berger deformation metric in tangent bundle". We would be very happy, if our manuscript meets the Journal of Publishing standards " Turkish Journal of Mathematics and Computer Science". Thanks again, Dr. Abderrahim ZAGANE

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