关于一类特殊的(α，β)-度量的性质

On a Class of Special(α,β)-metric

研究一类β关于α是平行的并且Riemann度量α具有常曲率的(α,β)-度量F所具有的一些性质,证明了F要么是平坦平行度量,要么是与Riemann度量α共形相关的度量.

The authors study the property of a class of （α,β） -metrics F in which fl is parallel with respect to Riemann metric α and Riemann metric α is of constant curvature, and it is obtained that F is flat-parallel metric or conformally related to Riemann metric α.