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Minimality and ergodicity of a generic analytic foliation of ℂ2

Published online by Cambridge University Press:  01 October 2008

T. GOLENISHCHEVA-KUTUZOVA  and
V. KLEPTSYN
T. GOLENISHCHEVA-KUTUZOVA
Affiliation:
Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow State University, Vorob’evy Gory, 119991 GSP-1, Moscow, Russia
V. KLEPTSYN
Affiliation:
Institut de Recherche Mathématique de Rennes, Campus Scientifique de Beaulieu, 263 avenue Général Leclerc, 35042 Rennes, France Université de Genève, 2-4 rue du Lièvre, 1211 CP 64, Genève 4, Suisse Independent University of Moscow, Bol’shoj Vlas’evskij per., dom 11, 119002 Moscow, Russia
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Abstract

It is well known that a generic polynomial foliation of ℂ2 is minimal and ergodic. In this paper we prove an analogous result for analytic foliations.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 5 , October 2008 , pp. 1533 - 1544
Copyright
Copyright © 2008 Cambridge University Press

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