On the realizability of Lewy structures

Author:
Abdelhamid Meziani

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

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that a nondegenerate CR structure with signature

at and with first integrals satisfying

is realizable if and only if an action of the group leaves invariant a one-dimensional subbundle of the structure bundle.

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Additional Information

**Abdelhamid Meziani**

Affiliation:
Department of Mathematics, Florida International University, Miami, Florida 33199

Email:
meziani@servax.fiu.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03592-7

Received by editor(s):
December 8, 1994

Received by editor(s) in revised form:
March 10, 1995

Communicated by:
Eric Bedford

Article copyright:
© Copyright 1996
American Mathematical Society