On generalized Cheeger-Gromoll metric and harmonicity

Year 2020, , 629 - 645, 30.06.2020

Abderrahim Zagane , Mustapha Djaa Reda Kada Ben Otmane

https://doi.org/10.31801/cfsuasmas.487296

Cited By: 3

Abstract

In this paper, we introduce the Generalized Cheeger-Gromoll metric on the tangent bundle TM, as a natural metric on TM. We establish a necessary and sufficient conditions under which a vector field is harmonic with respect to the Generalized Cheeger-Gromoll metric. We also construct some examples of harmonic vector fields.

Keywords

Horizontal lift, vertical lift, generalized Cheeger-Gromoll metric, harmonic maps

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