International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 73094, 11 pages
On the biharmonicity of product maps
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.