【摘要】 本文首先建立由李群 G与 G的闭子群 H得到的齐性流形的积空间到 G/ H～ 的光滑映射 ,其中H～ 为 G/ H中点在左传递作用下的同位群。其次 ,在特殊情况下 ,即当 H为 G的中心 ,左作用为 l～时 ,讨论了所建立的光滑映射 ,同时又给出了几个推论及命题更多还原

【Abstract】 In the first place,the paper establishes the C ∞ mapping of product space G×G/H into G/H,where G/H(G/H)is obtained from closed subgroup H(H)of Group G,and H is a corresponding Group under any C ∞ left transitive action in G/H.In the second place,the paper deals with the C ∞ mapping establised as above under particular conditions when H is the center of G,and the left action is l~.At the same time it gives some corollaries and propositions更多还原