International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 73094, 11 pages

On the biharmonicity of product maps

Leonard Todjihounde

Institut de Mathematiques et de Sciences Physiques, Université Nationale du Benin, BP 613, Porto Novo EP 2628, Benin

Received 29 November 2005; Revised 9 May 2006; Accepted 11 May 2006

Copyright © 2006 Leonard Todjihounde. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce the warped product of maps defined between Riemannian warped product spaces and we give necessary and sufficient conditions for warped product maps to be (bi)harmonic. We obtain then some characterizations of nontrivial harmonic metrics and nonharmonic biharmonic metrics on warped product spaces.