- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 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 : 18 | Download : 12
Publication Date : 2020-06-30
Article Type : Research
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