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

Year 2024, Volume: 6 Issue: 1, 10 - 22, 30.06.2024

Abderrahım Zagane

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

Thanks

Dear Editor-in-Chief, Thank you for accepting to submit our manuscript, " Geometry of $\varphi$-Unit Tangent Bundle with Vertical Rescaled Berger Deformation Metric.". We would be happy if our manuscript met the " Hagia Sophia Journal of Geometry" standards. Thanks again, Author

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