中文摘要：

这篇论文让 Beltrami 方程被印射的 1-quasiconformal 满足了，它确切是 CR 或 anti-CR 方程在上(2,2 ) 打二次曲面的 Q ₀ 。这意味着在 Q ₀ 上印射的 1-quasiconformal 是 CR 或 anti-CR。这在几复杂分析的理论上把 1-quasiconformal 地图砰的决心归结为一个问题。关于 CR 自守的组的结果被用来决定一些 1-quasiconformal 地图砰的联合起来的部件。

英文摘要：

This paper gets the Beltrami equations satisfied by a 1-quasiconformal mapping, which are exactly CR or anti-CR equations on （2,2）-type quadric Q0. This means a 1-quasiconformal mapping on Q0 is CR or anti-CR. This reduces the determination of 1- quasiconformal mappings to a problem on the theory of several complex analysis. The result about the group of CR automorphisms is used to determine the unit component of group of 1-quasiconformal mappings.