|
|||||
|
|
Willmore Lagrangian Spheres in the Complex Euclidean Space C n |
|
| Authors: | Hu Zejun Li Haizhong |
| Institution: | (1) Department of Mathematics, Zhengzhou University, 450052 Zhengzhou, People's Republic of China;(2) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, People's Republic of China |
| Abstract: | In this paper we construct many examples of n-dimensionalWillmore Lagrangian submanifolds in the complex Euclidean space C
n
. We characterize them as the only Willmore Lagrangian submanifolds invariant under the action of SO(n). The mostimportant contribution of our construction is that it provides examplesof Willmore Lagrangian spheres in C
n
for all n  2. |
| Keywords: | Willmore functional Lagrangian submanifolds Willmore sphere |
| 本文献已被 SpringerLink 等数据库收录！ | |