论文标题
cr歧管的cr嵌入
CR embeddings of CR manifolds
论文作者
论文摘要
我们通过发现$(n,k)$的cr歧管的足够条件(n,k)$的cr层,以接纳局部cr嵌入$(n+\ ell,k- \ ell)$的结果,从而改善了Baouendi,Rothschild和Treves以及Hill和Nacinovich的山地和Nacinovich的结果。尽管它们的结果需要存在有限的尺寸可溶剂可溶剂的横向代数。我们只需要有限的维度扩展。
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 $(n+\ell,k-\ell)$. While their results require the existence of a finite dimensional solvable transverse Lie algebra of vector fields; we require only a finite dimensional extension.