- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 1
- Some Notes on Geodesics of Vertical Rescaled Berger Deformation Metric in Tangent Bundle
Some Notes on Geodesics of Vertical Rescaled Berger Deformation Metric in Tangent Bundle
Authors : Abderrahım ZAGANE
Pages : 8-15
Doi:10.47000/tjmcs.1079349
View : 8 | Download : 2
Publication Date : 2022-06-30
Article Type : Research
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