【摘要】 本文得到的结果是可分的共形循环空间 C_n 共分四类:（Ⅰ）C_n=R_n 是 Car-tan 意义下的循环空间;（Ⅱ）C_n=S_n（?）×S_?是共形平坦空间;（Ⅲ）C_n=V₂×S_π-z是非常曲率2维空间的常曲率扩充;（Ⅳ）C₄=V′₂×V″₂是两个非常曲率2维空间的乘积空间.更多还原

【Abstract】 The main result obtained in this paper is that there are four types of decompoeable comformally recurrent Riemannian Spaces C_n:（Ⅰ）C_n=R_n,recurrent space in the sense of Cartan;（Ⅱ）C_n=S_n′×S_?,Comformally flat space;（Ⅲ）C_n=V′₂×S_n-2,constant curvature extension of the 2-dimensional spaceV′₂ which is not of conseant curvuture;（Ⅳ）C_n=V′₂×V″₂,product space each of which is 2-dimensional and is notof constant curvature。更多还原