Biharmonic maps into a Riemannian manifold of non-positive curvature

Details Biharmonic maps into a Riemannian manifold of non-positive curvature Biharmonic maps into a Riemannian manifold of non-positive curvature

2012-01-31

arxiv.org/abs/1201.6457v1

Mathematics

Differential Geometry

Scientific paper

We show that a biharmonic map of a complete Riemannian manifold into a
Riemannian manifold of non-positive curvature whose energy and bienergy are
finite must be harmonic.

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