### Abstract

We define a class of generic CR submanifolds of ℂ ^{n} of real codimension d, 1 ≤ d ≤ n, called the Bloom-Graham model graphs, whose graphing functions are partially decoupled in their dependence on the variables in the real directions. We prove a global version of the Baouendi-Treves CR approximation theorem for Bloom-Graham model graphs with a polynomial growth assumption on their graphing functions.

Original language | English (US) |
---|---|

Pages (from-to) | 723-730 |

Number of pages | 8 |

Journal | Proceedings of the American Mathematical Society |

Volume | 134 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2006 |

### Fingerprint

### Keywords

- Bloom-Graham model graphs
- CR approximation

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics