| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617760 | Journal of Mathematical Analysis and Applications | 2012 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
