Boundaries of Levi-flat hypersurfaces: special hyperbolic points

Pierre 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 -