Abderrahım ZAGANE

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

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,

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