论文标题

cr歧管的cr嵌入

CR embeddings of CR manifolds

论文作者

Cowling, M. G., Ganji, M., Ottazzi, A., Schmalz, G.

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.

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