CR embeddings of CR manifolds

被引：0

作者：

Cowling, M. G. ^{[1
]}

Ganji, M. ^{[2
]}

Ottazzi, A. ^{[1
]}

Schmalz, G. ^{[2
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Unsw Sydney, NSW 2052, Australia

[2] Univ New England, Sch Sci & Technol, Armidale, NSW 2351, Australia

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

CR manifold; CR embedding;

D O I：

10.1007/s10231-022-01241-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type (n, k) to admit a local CR embedding into a CR manifold of type (n +l, k - l). While their results require the existence of a finite dimensional solvable transverse Lie algebra of vector fields, we require only a finite dimensional extension.

引用

页码：287 / 291

页数：5