On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle

Authors : Aydin GEZER, Murat ALTUNBAS

Pages : 355-365

View : 35 | Download : 9

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :Let insert ignore into journalissuearticles values(M, g); be an n−dimensional Riemannian manifold and T ∗M be its cotangent bundle equipped with a Riemannian metric of CheegerGromoll type which rescale the horizontal part by a positive differentiable function. The main purpose of the present paper is to discuss curvature properties of T ∗M and construct almost paracomplex Norden structures on T ∗M. We investigate conditions for these structures to be para-Kähler insert ignore into journalissuearticles values(paraholomorphic); and quasi-para-Kähler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented. 
Keywords : Almost paracomplex structure, connection, cotangent bundle, paraholomorphic tensor field, Riemannian metric