标题： 极化CR流形和G-极化流形，第一部分 显示英文标题

标题： Variétés CR polarisées et G-polarisées, partie I

摘要： 极化和$G$-极化的CR流形是带有双结构的光滑流形：一个实叶状结构$\Cal F$（在$G$-极化的情况下由李群$G$的作用给出）和一个横截CR分布$(E,J)$。 极化意味着$(E,J)$大致上由$\Cal F$不变。 因此这两种结构是相互关联的。 它们之间的相互作用使极化CR流形具有非常丰富的几何结构。 在本文中，我们研究极化和$G$-极化流形的性质，特别强调它们的变形。 显示英文摘要

摘要： Polarized and $G$-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation $\Cal F$ (given by the action of a Lie group $G$ in the $G$-polarized case) and a transverse CR distribution $(E,J)$. Polarized means that $(E,J)$ is roughly speaking invariant by $\Cal F$. Both structures are therefore linked up. The interplay between them gives to polarized CR-manifolds a very rich geometry. In this paper, we study the properties of polarized and $G$-polarized manifolds, putting special emphasis on their deformations.