Article
Kyungpook Mathematical Journal 2021; 61(1): 169-179
Published online March 31, 2021
Copyright © Kyungpook Mathematical Journal.
On the Generalized of p-harmonic and f-harmonic Maps
Embarka Remli and Ahmed Mohammed Cherif*
Mascara University, Faculty of Exact Sciences, Department of Mathematics, 29000, Algeria
e-mail : ambarka.ramli@univ-mascara.dz and a.mohammedcherif@univ-mascara.dz
Received: February 15, 2020; Accepted: August 18, 2020
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.