曲率R部分为零的Finsler空间结构(英文)

Structure of Finsler Space for with the R Part of the Curvature to be Zero

利用活动标架 ,得到关于Finsler空间的一些基本公式和结果 ,并研究了具有退化黎曼曲率的Finsler空间的几何 .特别地 ,这个空间可以由摄影球丛具有平坦的叶状结构的水平分布来刻划 .

By moving frames, the basic formulas and some results on a Finsler space ( M,F ) and geometry of Finsler spaces with vanishing Riemann curvature are studied. In particular, the space is characterized by horizontal distribution of projective sphere bundle to have flat foliation.