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http://dx.doi.org/10.5666/KMJ.2021.61.1.169

On the Generalized of p-harmonic and f-harmonic Maps  

Remli, Embarka (Mascara University, Faculty of Exact Sciences, Department of Mathematics)
Cherif, Ahmed Mohammed (Mascara University, Faculty of Exact Sciences, Department of Mathematics)
Publication Information
Kyungpook Mathematical Journal / v.61, no.1, 2021 , pp. 169-179 More about this Journal
Abstract
In this paper, we extend the definition of p-harmonic maps between two Riemannian manifolds. We prove a Liouville type theorem for generalized p-harmonic maps. We present some new properties for the generalized stress p-energy tensor. We also prove that every generalized p-harmonic map from a complete Riemannian manifold into a Riemannian manifold admitting a homothetic vector field satisfying some condition is constant.
Keywords
p-harmonic maps; f-harmonic maps; Liouville type theorem; stress energy tensor;
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Times Cited By KSCI : 1  (Citation Analysis)
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