On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric

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International Electronic Journal of Geometry
Volume:15 Issue:2
On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric

On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric

Authors : Habil FATTAYEV

Pages : 287-303

Doi:10.36890/iejg.1071782

View : 40 | Download : 10

Publication Date : 2022-10-31

Article Type : Research Paper

Abstract :In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
Keywords : Coframe bundle, adapted frame, Cheeger Gromoll metric, Levi Civita connection, curvature tensor, geodesics

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