一类不定复空间型中Lagrange子流形的Chen型不等式  

Inequalities of Chen Type for Lagrangian Submanifolds of a Class of Indefinite Complex Space Form

作　　者：张攀[1] 张量[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《吉林大学学报（理学版）》2014年第3期439-444,共6页Journal of Jilin University:Science Edition

基　　金：安徽省高校优秀青年人才基金(批准号:2011SQRL021ZD)

摘　　要：利用Riemann不变量和Riemann流形上的最优化方法得到一类不定复空间型中Lagrange子流形的Chen型不等式,并证明了等号成立时子流形一定为全测地的.We obtained an inequality of Chen type for Lagrangian submanifolds of a class of indefinite complex space form using the Riemannian invariant and the optimization method on the Riemannian manifolds.In particular,we also showed that a Lagrangian submanifold of the indefinite complex space form attaining equality in the inequality must be totally geodesic.

关 键 词：不定复空间型 Lagrange子流形 Chen型不等式 全测地 

分 类 号：O186.12[理学—数学]