On the bi-harmonic maps with potential

In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that every biharmonic map with potential on a complete manifold satisfying some conditions is a harmonic map with potential.

Bibliographic Details
Main Authors: Ahmed Mohammed Cherif, Mustapha Djaa
Format: Article
Language:English
Published: Emerald Publishing 2018-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516617301354