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

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Turkish Journal of Mathematics and Computer Science
Volume: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

Pages : 8-15

View : 31 | Download : 9

Publication Date : 2022-06-30

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(M, \varphi, g);$. 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

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