Fonctions et feuilletages Levi-flat. Étude locale

Dominique Cerveau ^[1] ; Paulo R. Sad ^[2]
1. [1] Université de Rennes 1, France
2. [2] Instituto de Matemática Pura e Aplicada Rio de Janeiro, Brasil
Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 2, 2004, págs. 427-445
Idioma: francés
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Resumen
- We define the notion of CR equivalence for Levi-flat foliations and compare in a local setting these foliations to their linear parts. We study also the situation where the foliation has a first integral; a condition is given so that this integral is the real part of a holomorphic function.