Non-embeddability of certain classes of Levi flat manifolds

Mathematics – Complex Variables

Scientific paper

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8 pages, no figures

Scientific paper

On the basis of a result of Barrett, 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.

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