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

Year 2022, Volume: 15 Issue: 2, 287 - 303, 31.10.2022

Habil Fattayev

https://doi.org/10.36890/iejg.1071782

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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