English

Properties of biharmonic submanifolds in spheres

Differential Geometry 2009-08-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0908.3063,
  title  = {Properties of biharmonic submanifolds in spheres},
  author = {A. Balmuş and S. Montaldo and C. Oniciuc},
  journal= {arXiv preprint arXiv:0908.3063},
  year   = {2009}
}

Comments

10 pages; contribution to the Proceedings of the 11-th International Conference on Geometry, Integrability and Quantization, Varna 2009, Bulgaria