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VOL. 56 | 2009 On the Fatou–Julia decomposition of transversally holomorphic foliations of complex codimension one
Taro Asuke

Editor(s) Jean-Paul Brasselet, Shihoko Ishii, Tatsuo Suwa, Michel Vaquie

Abstract

The Fatou–Julia decomposition of complex codimension-one foliations is given by Ghys, Gomez-Mont and Saludes. The Julia sets are expected to play a role of minimal sets of real codimension-one foliations. For example, it is known that the Godbillon–Vey class is trivial if the Julia set is empty. In this paper, we propose another decomposition obtained in a slightly different way and announce some results.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1198.57019
MathSciNet: MR2604075

Digital Object Identifier: 10.2969/aspm/05610039

Subjects:
Primary: 57R30
Secondary: 37F75, 58H05

Rights: Copyright © 2009 Mathematical Society of Japan

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