摘要

We prove the following Artin type approximation theorem for smooth CR mappings: given M subset of C(N) a connected real-analytic CR submanifold that is minimal at some point, M' subset of C(N)' a real-analytic subset, and H: M -> M' a C(infinity)-smooth CR mapping, there exists a dense open subset 0 C M such that for any q is an element of 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.

  • 出版日期2010-2