English

Boundaries of Levi-flat hypersurfaces: special hyperbolic points

Complex Variables 2013-01-08 v2

Abstract

Let S\CnS\subset \C^n, n3n\geq 3 be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is SS, possibly as a current. Our goal is to get examples of such SS 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.

Keywords

Cite

@article{arxiv.1202.2547,
  title  = {Boundaries of Levi-flat hypersurfaces: special hyperbolic points},
  author = {Pierre Dolbeault},
  journal= {arXiv preprint arXiv:1202.2547},
  year   = {2013}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1105.4417

R2 v1 2026-06-21T20:18:15.234Z