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Biharmonic Riemannian maps

Bayram Ṣahin (2011)

Annales Polonici Mathematici

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.

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