复空间形式中具有常数量曲率的全实子流形(英文)  

TOTALLY REAL SUBMANIFOLDS WITH CONSTANT SCALAR CURVATURE IN A COMPLEX SPACE FORM

作　　者：宋卫东[1] 邵维新[1] 

机构地区：[1]安徽师范大学数学与计算机科学学院,安徽芜湖241000

出　　处：《数学杂志》2013年第1期20-26,共7页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11071005);Foundation for Excellent Young Talents of Higher Education(2011SQRL021ZD);the Natural Science Foundation of Anhui Educational Committee(KJ2010A125);the Natural Science Foundation of Anhui Educational Committee(KJ2012b197)

摘　　要：本文研究了复空间形式中具有常数量曲率的全实子流形.利用一种自伴算子,得到了这类子流形关于第二基本形式模长平方的积分不等式.In this paper, we investigate totally real submanifolds with constant scalar curva- ture in a complex space form. By using a self-adjoint operator, we obtain an integral inequality on the square of the norm of the second fundamental form.

关 键 词：复空间形式 全实子流形 数量曲率 积分不等式 

分 类 号：O186.12[理学—数学]