On transversely holomorphic flows. II
type: Item
instance of: scholarly article
title: On transversely holomorphic flows. II
zbMATH Open document ID: 0873.57022
author: Étienne Ghys
published in: Inventiones Mathematicae
publication date: 1997-11-02T00:00:00Z
review text: The paper studies transversely holomorphic one-dimensional orientable foliations on closed connected three-manifolds. Assume that the foliation satisfies \(H^2(M,{\mathcal O})\neq 0\), where \(\mathcal O\) is the sheaf of locally constant functions on leaves and transversely holomorphic. Then, the author shows that the foliation is Riemannian, i.e. there is a holonomy invariant Riemannian metric on the normal bundle. This work and the results of \textit{M. Brunella} [ibid., 265-279 (1996; Zbl 0873.57021); see the review above], implies a complete classification of transversely holomorphic one-dimensional foliations.
reviewed by: Jesus Muciño Raymundo
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 980765
zbMATH Keywords: 3-manifolds
zbMATH Keywords: holomorphic
zbMATH Keywords: foliations
MaRDI profile type: Publication
full work available at URL: s002220050099
OpenAlex ID: W2138004498
DOI: 10.1007/S002220050099
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description: scientific article; zbMATH DE number 980765