On generalized Cheeger-Gromoll metric and harmonicity

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
On generalized Cheeger-Gromoll metric and harmonicity

On generalized Cheeger-Gromoll metric and harmonicity

Authors : Abderrahim ZAGANE, Mustapha DJAA, Reda KADA BEN OTMANE

Pages : 629-645

Doi:10.31801/cfsuasmas.487296

View : 40 | Download : 13

Publication Date : 2020-06-30

Article Type : Research Paper

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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