Berger type deformed Sasaki metric on the cotangent bundle Commun. Korean Math. Soc. 2021 Vol. 36, No. 3, 575-592 https://doi.org/10.4134/CKMS.c200231 Published online May 12, 2021 Printed July 31, 2021 Abderrahim Zagane University Center of Relizane Abstract : In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraK\"{a}hler manifold $(M, \varphi, g)$ as a new natural metric with respect to $g$ non-rigid on $T^{\ast}M$. Firstly, we investigate the Levi-Civita connection of this metric. Secondly, we study the curvature tensor and also we characterize the scalar curvature. Keywords : Horizontal lift, vertical lift, cotangent bundles, Berger type deformed Sasaki metric, curvature tensor MSC numbers : 53C07, 53C55, 53B35, 53A45 Supported by : This note was supported by National Algerian PRFU project. Downloads: Full-text PDF   Full-text HTML