Mus-Sasaki Metric and Harmonicity

Year 2018, Volume: 6 Issue: 1, 29 - 36, 27.04.2018

Fethi Latti Mustapha Djaa Abderrahim Zagane

https://doi.org/10.36753/mathenot.421753

Cited By: 5

Abstract

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

Keywords

Horizontal lift, vertical lift, Mus-Sasaki metric, harmonic vector field

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