ON THE COTANGENT BUNDLE AND UNIT COTANGENT BUNDLE WITH A GENERALIZED CHEEGER-GROMOLL METRIC

In this paper, we consider a generalized Cheeger-Gromoll metric on a cotangent bundle over a Riemannian manifold, which is obtained by rescaling the vertical part of the Cheeger-Gromoll metric by a positive differentiable function. Firstly, we investigate the curvature properties on the cotangent bundle with the generalized CheegerGromoll metric. Secondly, we introduce the unit cotangent bundle equipped with this metric, where we present the formulas of the Levi-Civita connection and also all formulas of the Riemannian curvature tensors of this metric. Finally, we study the geodesics on the unit cotangent bundle with respect to this metric.

Dergi

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS

Yıl

2023

Cilt

38

Sayı

1

Sayfa

153-178

ISSN

0352-9665

eISSN

2406-047X

DOI

10.22190/FUMI221101011Z

WoS UID

WOS:001043370600011

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