唯一喷流判定及CR映射芽的球面扩张
Unique jet determination and extension of germs of CR maps into spheres
摘要：
我们提供了一种新的方法，同时参数化任意局部CR映射从实解析一般流形$M\subset {\mathbb C}^N$到球${\mathbb S}^{2N'-1}\subset {\mathbb C}^{N'}$的任何维。的参数化得到的合成的普遍合理的映射与全纯映射只依赖于$M$。作为应用，我们得到了不同的味道，如唯一的喷流确定和局部CR映射的全球扩展的刚性结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
