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.
出处
《数学杂志》
CSCD
北大核心
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)
关键词
复空间形式
全实子流形
数量曲率
积分不等式
complex space form
totally real submanifolds
scalar curvature
integral in- equality
