Biharmonic Riemannian maps
Differential Geometry
2010-12-10 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1012.2001,
title = {Biharmonic Riemannian maps},
author = {Bayram Sahin},
journal= {arXiv preprint arXiv:1012.2001},
year = {2010}
}
Comments
10 pages, To appear in Annales Polonici Mathematici