Biharmonic Riemannian maps

Details Biharmonic Riemannian maps Biharmonic Riemannian maps

2010-12-09

arxiv.org/abs/1012.2001v1

Mathematics

Differential Geometry

10 pages, To appear in Annales Polonici Mathematici

Scientific paper

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.

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