In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.

中文翻译：

---

CR映射的局部刚度和高阶无穷小变形的充分必要条件

在本文中，我们继续研究复杂空间的CR子流形图的局部刚度。我们为最小CR流形之间的有限非简并映射的局部刚度提供了一个线性的充分条件。此外，我们显示可以使用更高阶的无穷小条件来表征局部刚度。