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In this paper, first, we introduce the Berger-type deformed Sasaki metric onthe 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 presentthe unit cotangent bundle equipped with Berger-type deformed Sasaki metric, andwe investigate the Levi-Civita connection. Finally, we study the geodesics onthe cotangent bundle and on unit cotangent bundle with respect to theBerger-type deformed Sasaki metric.

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