Lefschetz pencil structures for 2-calibrated manifolds
type: Item
instance of: scholarly article
title: Lefschetz pencil structures for 2-calibrated manifolds
zbMATH Open document ID: 1054.57029
author: A. Ibort
author: David Martínez Torres
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-08-20T00:00:00Z
review text: A \(2\)-calibrated manifold is a smooth manifold \(M\) of dimension \(2n+1\) carrying a codimension \(1\) distribution \(D\) and a closed \(2\)-form \(\omega\) nondegenerate on \(D\). The authors generalize the notion of Lefschetz pencil structures on contact manifolds by \textit{F. Presas} [Asian J. Math. 6, No. 2, 277--302 (2002; Zbl 1101.53055)] to the notion on \(2\)-calibrated manifolds. They show that any closed \(2\)-calibrated manifold has a Lefschetz pencil structure and apply the result to taut foliations of \(3\)-dimensional manifolds.
reviewed by: Haruo S. Suzuki
Mathematics Subject Classification ID: 57R17
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 2094049
zbMATH Keywords: 2-calibrated manifolds
zbMATH Keywords: Lefschetz pencil structures
zbMATH Keywords: taut foliation
MaRDI profile type: Publication
full work available at URL: j.crma.2004.05.018
OpenAlex ID: W2085033746
cites work: Q4550188
cites work: Symplectic submanifolds and almost-complex geometry
cites work: Lefschetz pencils on symplectic manifolds.
cites work: Q4805125
cites work: Q4549294
cites work: Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds
cites work: Lefschetz type pencils on contact manifolds.
DOI: 10.1016/J.CRMA.2004.05.018
description: scientific article; zbMATH DE number 2094049