Holomorphic foliations admitting a transverse invariant measure
type: Item
instance of: scholarly article
title: Holomorphic foliations admitting a transverse invariant measure
zbMATH Open document ID: 1326.32032
author: Frédéric Touzet
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2015-10-12T00:00:00Z
review text: The paper is mainly devoted to prove the following result. Let \(F\) be a regular codimension-one holomorphic foliation on a compact Kähler manifold. If one assumes that \(F\) admits an invariant diffuse measure, then \(F\) is Hermitian transversely. Moreover, admitting a ramified covering on invariant hypersurfaces of \(F\), the transverse metric can be chosen with constant curvature.
Mathematics Subject Classification ID: 32J27
Mathematics Subject Classification ID: 37F75
zbMATH DE Number: 6493260
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: invariant hypersurface
zbMATH Keywords: invariant transverse metric
reviewed by: Carlos Galindo
MaRDI profile type: Publication
full work available at URL: afst.1454
OpenAlex ID: W2963106634
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DOI: 10.5802/AFST.1454
description: scientific article; zbMATH DE number 6493260