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arXiv · 1309.1354

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

A. Gezer·M. Altunbas
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Abstract

Let $(M,g)$ be an n-dimensional Riemannian manifold and $T^{*}M$ be its cotangent bundle equipped with a Riemannian metric of Cheeger Gromoll type which rescale the horizontal part by a nonzero 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 (paraholomorphic) and quasi-Kähler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.

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A. Gezer, M. Altunbas. 2013-09-05. On the rescaled Riemannian metric of Cheeger Gromoll type on the cotangent bundle. https://arxiv.org/abs/1309.1354

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