Biharmonic Riemannian maps
Volume 102 / 2011
Annales Polonici Mathematici 102 (2011), 39-49
MSC: Primary 53C43; Secondary 58E20, 53B21.
DOI: 10.4064/ap102-1-4
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 target manifolds.
