SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS

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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