A note on CR mappings of positive codimension

Details A note on CR mappings of positive codimension A note on CR mappings of positive codimension

2010-02-12

arxiv.org/abs/1002.2558v1

Proc. Amer. Math. Soc. 138 (2010), 605-614

Mathematics

Complex Variables

Scientific paper

10.1090/S0002-9939-09-10062-X

We prove the following Artin type approximation theorem for smooth CR mappings: given M a connected real-analytic CR submanifold in C^N that is minimal at some point, M' a real-analytic subset of C^N', and H:M->M' a smooth CR mapping, there exists a dense open subset O in M such that for any q in O and any positive integer k there exists a germ at q of a real-analytic CR mapping H^k:(M,q)->M' whose k-jet at q agrees with that of H up to order k.

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