On the smoothness of Levi-foliations

Autores: David E. Barrett, John Erik Fornaess
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 2, 1988, págs. 171-177
Idioma: inglés
DOI: 10.5565/publmat_32288_05
Títulos paralelos:
- Sobre la regularidad de las foliaciones de Levi
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Resumen
- 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.