A global stability theorem for transversely holomorphic foliations
type: Item
instance of: scholarly article
title: A global stability theorem for transversely holomorphic foliations
zbMATH Open document ID: 0876.57040
DOI: 10.1023/A:1006510202919
author: Marco Brunella
published in: Annals of Global Analysis and Geometry
publication date: 1997-05-28T00:00:00Z
review text: A foliation \(\mathcal F\) of complex codimension one on a manifold \(M\) is said to be transversely holomorphic if it is given by a collection of submersions onto open subsets of \(\mathbb{C}\) so that the transition functions are holomorphic. It is shown that if \(M\) is compact and connected and \(\mathcal F\) is such a foliation and \(\mathcal F\) has a compact leaf of finite holonomy then every leaf is compact and has finite holonomy.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 1014202
zbMATH Keywords: foliation
zbMATH Keywords: manifold
zbMATH Keywords: transversely holomorphic
zbMATH Keywords: holonomy
reviewed by: David B. Gauld
MaRDI profile type: Publication
full work available at URL: a:1006510202919
OpenAlex ID: W33288984
description: scientific article; zbMATH DE number 1014202