On the realizability of Lewy structures
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- by Abdelhamid Meziani
- Proc. Amer. Math. Soc. 124 (1996), 2767-2772
- DOI: https://doi.org/10.1090/S0002-9939-96-03592-7
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Abstract:
We prove that a nondegenerate CR structure with signature $(p,n-p)$ at $0\in \mathbb {R}^{2n+1}$ and with $n$ first integrals $z_{1},\cdots ,z_{n}$ satisfying \begin{equation*}dz_{1}\wedge d\bar {z}_{1}\wedge \cdots \wedge dz_{n}\wedge d\bar {z}_{n} \ne 0\end{equation*} is realizable if and only if an action of the group $O(2p,2n-2p)$ leaves invariant a one-dimensional subbundle of the structure bundle.References
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Bibliographic Information
- Abdelhamid Meziani
- Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
- MR Author ID: 239413
- Email: meziani@servax.fiu.edu
- Received by editor(s): December 8, 1994
- Received by editor(s) in revised form: March 10, 1995
- Communicated by: Eric Bedford
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2767-2772
- MSC (1991): Primary 32F25; Secondary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-96-03592-7
- MathSciNet review: 1350956