Biharmonic submanifolds with parallel mean curvature vector field in spheres
Differential Geometry
2011-02-09 v2
Abstract
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean curvature vector field in spheres is obtained. Then, we completely classify the proper biharmonic submanifolds in spheres with parallel mean curvature vector field and parallel Weingarten operator associated to the mean curvature vector field.
Keywords
Cite
@article{arxiv.1011.1727,
title = {Biharmonic submanifolds with parallel mean curvature vector field in spheres},
author = {Adina Balmus and Cezar Oniciuc},
journal= {arXiv preprint arXiv:1011.1727},
year = {2011}
}
Comments
15 pages. Minor changes made and one section added