$g$-natural metric and harmonicity on the cotangent bundle
Commun. Korean Math. Soc. 2021 Vol. 36, No. 1, 135-147 https://doi.org/10.4134/CKMS.c190423 Published online December 22, 2020 Printed January 31, 2021
Abderrahim Zagane, Mohammed Zagane University Center of Relizane; University Mustapha Stambouli of Mascara
Abstract : In this paper, we introduce the harmonicity of a covector field on a Riemannian manifold $(M,g)$ to its cotangent bundle $T^{\ast}M$ equipped with $g$-natural metric. Afterward we also construct some examples of harmonic covector fields.
