Kenmotsu流形上半对称非度量联络的一些性质  

On Properties of a Semi-Symmetric Non-metric Connection on Kenmotsu Manifold

作　　者：陈羽 姚纯青[1] CHEN Yu;YAO Chun-qing(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2018年第2期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11471188)

摘　　要：给出了Kenmotsu流形关于半对称非度量联络▽曲率张量的第一Bianchi恒等式,得到了当Kenmotsu流形关于▽局部平坦时该流形曲率张量的一些关系式,证明了关于▽是共谐平坦的Kenmotsu流形是一个关于▽的η-爱因斯坦流形.Given the first Bianchi identity for curvature tensor of the Kenmotsu manifold with respect to semi-symmetric non-metric connection?some relations of the curvature tensor on Kenmotsu manifold have been received when the Kenmotsu manifold is a locally flat manifold respect to?and it is proved that a conharmonically flat Kenmotsu manifold with respect to?s an-Einstein manifold about~

关 键 词：Kenmotsu流形 半对称非度量联络 曲率张量 η爱因斯坦流形 

分 类 号：O186.5[理学—数学]