复空间形式中Lagrange子流形的Casorati曲率不等式（英文）  

Inequalities for Casorati Curvature of Lagrangian Submanifolds in Complex Space Forms

作　　者：张量[1] 潘旭林 张攀[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,芜湖安徽241000

出　　处：《数学进展》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)

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.

关 键 词：不等式 Casorati曲率 Lagrange子流形 复空间形式 

分 类 号：O186.12[理学—数学]