f-HARMONIC VECTORS FIELDS WITH POTENTIAL

Authors

• Ferdinand Hountondji Koudjo, Institut de Mathematiques et de Sciences Physiques

Page

59-69

Abstract

The problem studied in this paper is related to the f-harmonicity with potential of a vector field from a Riemannian to its tangent bundle TM equipped with the Sasaki metric. We show that an f-harmonic vector field with potential is parallel if and only if f is constant function. We also characterize the f-harmonic vector fields with potential on some three Riemannian Lie groups.

Recommended Citation

Hountondji Koudjo, Ferdinand (2026) "f-HARMONIC VECTORS FIELDS WITH POTENTIAL," Baku Mathematical Journal: Vol. 5: Iss. 1, Article 6.
DOI: 10.32010/j.bmj.2026.06
Available at: https://www.bakumathj.org/home/vol5/iss1/6