一个新的Simons型不等式  

A New Simons' Type Inequality

作　　者：陈六新[1] 郭震[2] 李同柱[3] 

机构地区：[1]重庆邮电学院计算机系,重庆400065 [2]云南师范大学数学学院,云南昆明650092 [3]北京大学数学研究所,北京100871

出　　处：《西南师范大学学报（自然科学版）》2003年第4期533-535,共3页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：通过计算Ricci张量长度平方的Laplace,得到一个新的Simons型不等式;运用该不等式作拼挤,在一个比法丛平坦弱的条件下得到了一个Pinching常数.推广了前人所作的关于法丛平坦的结果,也得到了与Ricci曲率平行有关的相应结果.A new simons type integral inequality is obtained by calcuating the a Laplace of the square of the length of the Ricci curvature. And a pinhing constant is obtained from the Simons type integral inequality. The Pinching constant is also obtained under the condition that is weaker than flat normal bundle. The results about flat normal bundle which have been known are generalized and the results about Parallel Ricci curvature are obtained.

关 键 词：Simons型不等式 RICCI张量 法丛平坦 PINCHING常数 拼挤 第二基本形式长度 微分几何 黎曼流形 

分 类 号：O186.12[理学—数学] O178[理学—基础数学]