Biharmonic Riemannian maps

Abstract

We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the base manifolds.

arXiv comment10 pages, To appear in Annales Polonici Mathematici