摘要
本文讨论了黎曼流形上的射影半对称联络D即与Levi-Civita联络射影等价的联络,得到了它的一些特性.同时,分别给出这两个联络对应的共形曲率张量的一些结果.另外,还研究了特殊射影半对称联络.
In this paper,we study the projetive semi-symmetrie conneetion D of Riemannianmanifold,which is tantamount projectively to thc Levi-Civita connection,and obtain some characteris-tics about it.At the same time,we give some rcsults about conformal curvature tensor correspondcd tothe two connections,respeetively.On the othcr hand, we diseuss the special projecive semi-symmetricconnection.
出处
《河南师范大学学报(自然科学版)》
CAS
CSCD
1994年第1期14-17,共4页
Journal of Henan Normal University(Natural Science Edition)
关键词
半对称联络
黎曼流形
射影等价
semi-symmetric connection
projective semi-symmetric connection
conformalcurvature tensor