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On the displacement rigidity of Levi flat hypersurfaces - The case of boundaries of disc bundles over compact Riemann surfaces

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arxiv math/0511108 v1 pith:VB5FFLY7 submitted 2005-11-04 math.CV

classification math.CV
keywords flathypersurfacesleviboundariesbundlescasecompactdisc
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Non-existence theorems for Levi flat hypersurfaces have found great interest in the literature. The question next to this that has to be asked is, when existing Levi flat hypersurfaces are at least rigid under deformations. Here, the case of boundaries of disc bundles over certain compact Riemann surfaces is considered.

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