摘要
定义两种特殊的对称度量联络,证明了这些联络在黎曼流形的超曲面上的诱导联络仍然是对称度量联络.给出了关于这些联络的Gaus,Weingarten公式和Gaus,Codazi方程,同时也得到了具有这些联络的黎曼流形超曲面的某些性质.
The hypersurface of Riemannian manifold with some special quartersymmetric metric connections is studied,formulas of Gauss,Weingarten and structure equations are given for these connections,and some properties are obtained for thus hypersurface.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
1998年第1期101-104,共4页
Journal of Northeastern University(Natural Science)
关键词
诱导联络
超曲面
黎曼流形
quartersymmetric metric connection,induced connection,hypersurface.