| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1898686 | Journal of Geometry and Physics | 2011 | 6 Pages |
Abstract
In this paper, we mainly concentrate on the biminimal hypersurfaces in a sphere. First, we obtain some rigidity theorems for biminimal hypersurfaces. Then we give a classification of non-minimal biminimal isoparametric hypersurfaces in a sphere.
► Biminimal submanifolds are critical points of a variational problem of order 4 which generalizes minimality. ► Some rigidity theorems are proved for biminimal hypersurfaces in a sphere. ► A classification of biminimal isoparametric hypersurfaces in a sphere is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Shunjuan Cao,