On the analyticity of smooth CR maps into a real algebraic set

被引:7
|
作者
Coupet, B
Damour, S
Merker, J
Sukhov, A
机构
[1] Univ Aix Marseille 1, LATP, UMR 6632, F-13453 Marseille 13, France
[2] Univ Lille 1, LAGAT, UMR 8524, F-59655 Villeneuve Dascq, France
关键词
D O I
10.1016/S1631-073X(02)02392-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let f : M --> M' be a C-infinity-smooth CR mapping between a generic real analytic submanifold M subset of C-n and a real algebraic Subset M' subset of C-n. We prove that if M is minimal at a point p and if M' does not contain complex curves, then f is real-analytic at p.
引用
收藏
页码:953 / 956
页数:4
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