International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 7, Pages 73094, 11 p.
doi:10.1155/IJMMS/2006/73094
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
Abstract
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.