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http://dx.doi.org/10.4134/CKMS.c190423

g-NATURAL METRIC AND HARMONICITY ON THE COTANGENT BUNDLE  

Zagane, Abderrahim (Department of Mathematics University Center of Relizane)
Zagane, Mohammed (Department of Computer Sciences University Mustapha Stambouli of Mascara)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 135-147 More about this Journal
Abstract
In this paper, we introduce the harmonicity of a covector field on a Riemannian manifold (M, g) to its cotangent bundle T∗ 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;
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