摘要
本文讨论了单位球面中具平行平均曲率向量的２－调和等距浸入，获得其成为极小浸入的充分条件和关于第二基本形式的Ｐｉｎｃｈｉｎｇ定理．
In this paper, we discuss 2-harmonic isometric immersions in a sphere with parallel mean curvature vector. Conditions to become into a minimal immersion and pinching theorems on the second fundamental form are obtained.
出处
《纯粹数学与应用数学》
CSCD
1994年第2期114-118,共5页
Pure and Applied Mathematics
关键词
平均曲率
调和等距浸入
极小浸入
黎曼流形
Mean curvature
2-harmonic isometric immersion
Minceal immersion
Second fundamental form
