Biharmonic maps into a Riemannian manifold of non-positive curvature

Nobumitsu Nakauchi; Hajime Urakawa; Sigmundur Gudmundsson

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arXiv · 1201.6457

Biharmonic maps into a Riemannian manifold of non-positive curvature

Nobumitsu Nakauchi·Hajime Urakawa·Sigmundur Gudmundsson

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Abstract

We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then such a map is harmonic. We then give applications to isometric immersions and horizontally conformal submersions.

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BibTeX RIS

Nobumitsu Nakauchi, Hajime Urakawa, Sigmundur Gudmundsson. 2012-10-01. Biharmonic maps into a Riemannian manifold of non-positive curvature. https://arxiv.org/abs/1201.6457

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