# Boundaries of Levi-flat hypersurfaces: special hyperbolic points

Annales Polonici Mathematici (2012)

- Volume: 106, Issue: 1, page 145-170
- ISSN: 0066-2216

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topPierre Dolbeault. "Boundaries of Levi-flat hypersurfaces: special hyperbolic points." Annales Polonici Mathematici 106.1 (2012): 145-170. <http://eudml.org/doc/280607>.

@article{PierreDolbeault2012,

abstract = {Let S ⊂ ℂⁿ, n ≥ 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: a sphere with two horns, elementary models and their gluings. Some particular cases of S being a graph are also described.},

author = {Pierre Dolbeault},

journal = {Annales Polonici Mathematici},

keywords = {Levi-flat hypersurface; boundary problem; special hyperbolic point; elementary model; gluing},

language = {eng},

number = {1},

pages = {145-170},

title = {Boundaries of Levi-flat hypersurfaces: special hyperbolic points},

url = {http://eudml.org/doc/280607},

volume = {106},

year = {2012},

}

TY - JOUR

AU - Pierre Dolbeault

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

JO - Annales Polonici Mathematici

PY - 2012

VL - 106

IS - 1

SP - 145

EP - 170

AB - Let S ⊂ ℂⁿ, n ≥ 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: a sphere with two horns, elementary models and their gluings. Some particular cases of S being a graph are also described.

LA - eng

KW - Levi-flat hypersurface; boundary problem; special hyperbolic point; elementary model; gluing

UR - http://eudml.org/doc/280607

ER -

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