Properties of biharmonic submanifolds in spheres

Details Properties of biharmonic submanifolds in spheres Properties of biharmonic submanifolds in spheres

2009-08-21

arxiv.org/abs/0908.3063v1

Mathematics

Differential Geometry

10 pages; contribution to the Proceedings of the 11-th International Conference on Geometry, Integrability and Quantization, V

Scientific paper

In the present paper we survey the most recent classification results for
proper biharmonic submanifolds in unit Euclidean spheres. We also obtain some
new results concerning geometric properties of proper biharmonic constant mean
curvature submanifolds in spheres.

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