2 research outputs found
On the biharmonicity of product maps
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
ON THE BIHARMONICITY OF PRODUCT MAPS
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