关于一类特殊的（α，β）度量的Landsberg曲率

摘要

在已构造的具有F＝（α＋β）2／α形式且含5个参量的（α，β）度量的基础上，研究了其射影平坦的条件及S曲率，并进一步计算了该种度量的Landsberg曲率，其曲率结果为后续研究曲率间关系奠定了基础。%On the basis of a class of (α,β)-metrics with form of F =(α+β)2/αand five parameters,the projectively flat condition and S curvature are studied,and the Landsberg curvature of (α,β)-metrics is furthermore calculated.The curvature result lays foundation for research on the relations between curva-tures.