Geometry of $\\varphi$-Unit Tangent Bundle with Vertical Rescaled Berger Deformation Metric

Authors : Abderrahım Zagane

Pages : 10-22

View : 59 | Download : 65

Publication Date : 2024-06-30

Article Type : Research Paper

Abstract :In this paper, we talk about the vertical rescaled Berger deformation metric on the $\\varphi$-unit tangent bundle over an anti-paraK\\\"{a}hler manifold $(M^{2m}, \\varphi, g)$. Firstly, we investigate the Levi-Civita connection in this metric. Secondly, we calculate all forms of the Riemannian curvature tensors. Finally, we study the geodesics on the $\\varphi$-unit tangent bundle concerning the vertical rescaled Berger deformation metric.
Keywords : \\varphi unit tangent bundle, vertical rescaled Berger deformation metric, anti paraK\\\ a hler manifold, geodesics