NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS

@article{Sala2010NONEMBEDDABILITYOC,
title={NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS},
author={Giuseppe della Sala},
journal={Osaka Journal of Mathematics},
year={2010},
volume={51},
pages={161-169}
}

On the basis of a result of Barrett [2], we show that members of certain classes of abstract Levi flat manifolds with boundary, whose Levi foliation contains a compact leaf with contracting, flat holonomy, admit no CR embedding as a hypersurface of a complex manifold. In particular, it follows that the foliation constructed in [6] is not embeddable.

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