SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS

Year 2013, Volume: 42 Issue: 5 , 533 - 549 , 01.05.2013

Filiz Ağca A. A. Salimov

https://izlik.org/JA37AT22CB

Abstract

The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.

Keywords

Cheeger-Gromoll metric , cotangent bundle , vertical and horizontal lift , curvature tensor , geodesics

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