论文标题
Cr地图细菌的独特喷气确定和扩展到球体
Unique jet determination and extension of germs of CR maps into spheres
论文作者
论文摘要
我们提供了一种新的方法，可以从实用分析通用歧管$ M \ subset {\ Mathbb c}^n $中同时参数将任意的本地CR映射到Spheres $ {\ Mathbb s}^{2n'-1} \ subseT {\ MathBb s} \ subseT {\ Mathbb s} \ subset {\ subset {\ MathBB c}^n'''''参数化是作为通用理性图的组成，并具有全体形态图，仅取决于$ m $。作为应用，我们获得了不同口味的刚度结果，例如独特的喷气确定和局部CR地图的全局扩展。
We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-analytic generic manifolds $M\subset {\mathbb C}^N$ into spheres ${\mathbb S}^{2N'-1}\subset {\mathbb C}^{N'}$ of any dimension. The parametrization is obtained as a composition of universal rational maps with a holomorphic map depending only on $M$. As applications, we obtain rigidity results of different flavours such as unique jet determination and global extension of local CR maps.
