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arXiv:1201.6455 [math.DG]AbstractReferencesReviewsResources

Biharmonic submanifolds in a Riemannian manifold with non-positive curvature

Nobumitsu Nakauchi, Hajime Urakawa

Published 2012-01-31Version 1

We show that for an isometric immersion of a complete Riemannian manifold into a Riemannian manifold with non-positive curvature, the norm of the mean curvature vector field is square integrable, then it is minimal. This is a partial affirmative answer of the B. Y. Chen's conjecture.

Categories: math.DG
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