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}
}
  • G. Sala
  • Published 8 March 2010
  • Mathematics
  • Osaka Journal of Mathematics
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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Local Criteria for Non-Embeddability of Levi-Flat Manifolds
We give local criteria for smooth non-embeddability of Levi-flat manifolds. For this purpose, we pose an analogue of Ueda theory on the neighborhood structure of hypersurfaces in complex manifolds…

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