Berger type deformed Sasaki metric on the cotangent bundle
Commun. Korean Math. Soc.
Published online May 12, 2021
ABDERRAHIM ZAGANE
University Center of Relizane, Departement of Mathematics, 48000, Relizane-Algeria
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
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd