Commun. Korean Math. Soc. 2021; 36(1): 135-147
Online first article December 22, 2020 Printed January 31, 2021
https://doi.org/10.4134/CKMS.c190423
Copyright © The Korean Mathematical Society.
Abderrahim Zagane, Mohammed Zagane
University Center of Relizane; University Mustapha Stambouli of Mascara
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.
Keywords: Horizontal lift, vertical lift, cotangent bundles, $g$-natural metric, harmonic maps
MSC numbers: 53A45, 53C20, 58E20
Supported by: Partially supported by the Algerian National Research Agency PRFU and GMFAMI Laboratories
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