Properties of biharmonic submanifolds in spheres
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2009
- DOI:
- 10.48550/arXiv.0908.3063
- arXiv:
- arXiv:0908.3063
- Bibcode:
- 2009arXiv0908.3063B
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C42;
- 58E20
- E-Print:
- 10 pages