On the smoothness of Levi-foliations.

Barrett, D. E., and Fornaess, John Erik. "On the smoothness of Levi-foliations.." Publicacions Matemàtiques 32.2 (1988): 171-177. <http://eudml.org/doc/41049>.

@article{Barrett1988,
abstract = {We study the regularity of the induced foliation of a Levi-flat hypersurface in Cn, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.},
author = {Barrett, D. E., Fornaess, John Erik},
journal = {Publicacions Matemàtiques},
keywords = {Foliaciones; Hipersuperficies; Regularidad; Levi flat; foliation},
language = {eng},
number = {2},
pages = {171-177},
title = {On the smoothness of Levi-foliations.},
url = {http://eudml.org/doc/41049},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Barrett, D. E.
AU - Fornaess, John Erik
TI - On the smoothness of Levi-foliations.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 171
EP - 177
AB - We study the regularity of the induced foliation of a Levi-flat hypersurface in Cn, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.
LA - eng
KW - Foliaciones; Hipersuperficies; Regularidad; Levi flat; foliation
UR - http://eudml.org/doc/41049
ER -