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

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

2005-11-04

arxiv.org/abs/math/0511108v1

Mathematics

Complex Variables

9 pages

Scientific paper

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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