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arXiv · 2204.01174

CR embeddings of CR manifolds

M. G. Cowling·M. Ganji·A. Ottazzi·G. Schmalz
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Abstract

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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M. G. Cowling, M. Ganji, A. Ottazzi, G. Schmalz. 2022-04-03. CR embeddings of CR manifolds. https://arxiv.org/abs/2204.01174

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