广义复(α,β)变换

Generalized Complex (α,β)-Changes

研究Matsumoto变换及Kropina变换的射影等价性,讨论了复Berwald度量F的一般广义复(α,β)变换成为仿射等价变换的充分条件,从而构造一族与F仿射等价的Berwald度量,并计算了广义复Kropina变换的全纯曲率。

The projective equivalence of Matsumoto changes and Kropina changes is studied. It discusses the sufficient conditions for the generalized complex （α,β）-changes being projective changes on a complex Berwald metrics. Then a family of projective related complex Berwald metrics is constructed. Finally, the holomorphic curvature of the generalized complex Kropina changes is calculated.