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arXiv · 1511.09103

Some recent progress of biharmonic submanifolds

Ye-Lin Ou
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Abstract

In this note, we give a brief survey on some recent developments of biharmonic submanifolds. After reviewing some recent progress on Chen's biharmonic conjecture, the Generalized Chen's conjecture on biharmonic submanifolds of non-positively curved manifolds, and some classifications of biharmonic submanifolds of spheres, we give a short list of some open problems in this topic.

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Ye-Lin Ou. 2015-11-29. Some recent progress of biharmonic submanifolds. https://arxiv.org/abs/1511.09103

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