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arXiv · 2303.01060

Note on geodesics of cotangent bundle with Berger-type deformed Sasaki metric over K\"ahlerian manifold

Abderrahim Zagane
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Abstract

In this paper, first, we introduce the Berger-type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over a K\"{a}hlerian manifold $(M^{2m}, J, g)$ and investigate the Levi-Civita connection of this metric. Secondly, we present the unit cotangent bundle equipped with Berger-type deformed Sasaki metric, and we investigate the Levi-Civita connection. Finally, we study the geodesics on the cotangent bundle and on unit cotangent bundle with respect to the Berger-type deformed Sasaki metric.

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Abderrahim Zagane. 2023-03-02. Note on geodesics of cotangent bundle with Berger-type deformed Sasaki metric over K\"ahlerian manifold. https://doi.org/10.46298/cm.11025

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