不定复空间形式中全实类空子流形的δ不等式  

Aδ Inequality for Totally Real Complete Space-like Submanifolds in Indefinite Complex Space Form

作　　者：程丽鹃 王佳慧 朱业成 CHENG Lijuan;WANG Jiahui;ZHU Yecheng(School of Mathematics&Physics,Anhui University of Technology,Maanshan 243032,China)

机构地区：[1]安徽工业大学数理科学与工程学院,安徽马鞍山243032

出　　处：《安徽工业大学学报（自然科学版）》2021年第4期437-443,共7页Journal of Anhui University of Technology（Natural Science）

基　　金：国家自然科学基金项目(12026262)。

摘　　要：针对不定复空间形式的全实类空子流形,研究内蕴不变量δ(n_(1),n_(2),…,nk)和外在不变量(平均曲率的平方)之间的几何不等式问题。采用代数不等式和活动标架的方法,建立不定复空间形式中类时全测地和类空全测地子流形两种情况下关于δ(2)和δ(n_(1),n_(2),…,nk)的不等式,得到不定复空间形式中全实类空子流形的δ不等式。For totally real complete space-like submanifolds in indefinite complex space form,the problem of establishing geometric inequalities between the intrinsic invariantsδ(n_(1),n_(2),…,nk)and the extrinsic invariants(square of the mean curvature)was studied.The inequalities aboutδ(2)andδ(n_(1),n_(2),…,nk)of time-like and space-like geodesic submanifolds in the indefinite complex space were established by algebraic inequalities and moving frame methods,and theδinequality for totally real complete space-like submanifolds in indefinite complex space form was obtained.

关 键 词：不定复空间 类时全测地子流形 类空全测地子流形 

分 类 号：O186.1[理学—数学]