摘要
利用Riemann流形上的Oprea最优化方法,得到了复空间形式中Lagrange子流形关于δ-Casorati曲率δ_c(n-1)的不等式,并证明了等号成立时子流形一定为全测地的.此外,还给出了该不等式的一个应用.
By using Oprea＇s optimization methods on Riemannian manifolds, we obtain an inequality relating the normalized δ-Casorati curvature δc（n - 1） for Lagrangian submanifolds of a complex space form. In particular, we also show that the Lagrangian submanifold of a complex space form satisfying the equality must be totally geodesic. Moreover, an application of the inequality is provided.
出处
《数学进展》
CSCD
北大核心
2016年第5期767-777,共11页
Advances in Mathematics（China）
基金
supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province(No.2011SQRL021ZD)
