Boundaries of Levi-flat hypersurfaces: special hyperbolic points

Details Boundaries of Levi-flat hypersurfaces: special hyperbolic points Boundaries of Levi-flat hypersurfaces: special hyperbolic points

2012-02-12

arxiv.org/abs/1202.2547v1

Mathematics

Complex Variables

arXiv admin note: substantial text overlap with arXiv:1106.0816

Scientific paper

Let $S\subset \C^n$, $n\geq 3$ be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is $S$, possibly as a current. Our goal is to get examples of such $S$ containing at least one special 1-hyperbolic point: sphere with two horns; elementary models and their gluing. The particular cases of graphs are also described.

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