共形平坦的切触度量流形上关于其半对称度量联络的一些结果

Some Results of Semi-symmetric Metric Connection on the conformally flat Contact Metric Manifold

利用共形平坦的切触度量流形上的*-Ricci算子Ric*的表达式,得到了Ric*和其半对称度量联络■的■之间的关系,还给出(α,β)型近trans-Sasakian流形关于半对称度量联络■是(α,β+1)型的结果。

By using the expression of ＊-Ricci operator on conformally flat contact metric manifold, we obtain the relationship between Ric^＊ and Ric^＊ and draw the conclusion that near trans-Sasakian manifold of type（α,β）is near trans-Sasakian manifold of type （α,β＋1） with respect to the semi-symmetric metric connection.