Journal of Mathematical Physics, Analysis, Geometry
2021, vol. 17, No 3, pp. 388-402   https://doi.org/doi.org/10.15407/mag17.03.388     ( to contents , go back )
https://doi.org/doi.org/10.15407/mag17.03.388

Para-Complex Norden Structures in Cotangent Bundle Equipped with Vertical Rescaled Cheeger–Gromoll Metric

Abderrahim Zagane

Relizane University, Dept. of mathematics, 48000, Relizane-Algeria
E-mail: Zaganeabr2018@gmail.com

Received April 27, 2020, revised November 26, 2020.

Abstract

In the paper, a deformation (in the vertical bundle) of the Cheeger– Gromoll metric on the cotangent bundle $T^{\ast}M$ over an $m$-dimensional Riemannian manifold $(M, g)$, called the vertical rescaled Cheeger–Gromoll metric, is considered. The para-Nordenian properties of the vertical rescaled Cheeger–Gromoll metric are studied.

Mathematics Subject Classification 2010: 53C20,53C15,53C56,53B35
Key words: cotangent bundles, horizontal lift, vertical lift, vertical rescaled Cheeger–Gromoll metric, para-complex structure, pure metric

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