A smooth foliation of the 5-sphere by complex surfaces
type: Item
instance of: scholarly article
title: A smooth foliation of the 5-sphere by complex surfaces
zbMATH Open document ID: 1029.32019
DOI: 10.2307/3597286
author: Laurent Meersseman
author: Alberto Verjovsky
published in: Annals of Mathematics. Second Series
publication date: 2003-03-24T00:00:00Z
review text: The authors construct an example of a smooth codimension one foliation \(\mathcal F\) on the sphere \({\mathbf S}^5\) whose tangent \(T{\mathcal F}\) has an integrable almost complex structure; that is, they construct a smooth, codimension one, integrable and Levi flat CR-structure on \({\mathbf S}^5\). This CR-structure is not embeddable in any Stein space nor Kähler manifold. The construction is a smart modification of the first example of a smooth codimension one foliation of \({\mathbf S}^5\), discovered by \textit{H. B. Lawson} [Ann. Math. (2) 94, 494-503 (1971; Zbl 0236.57014)].
reviewed by: Jesús A. Álvarez López
Mathematics Subject Classification ID: 32V30
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 1877086
zbMATH Keywords: codimension-one foliation
zbMATH Keywords: Levi flat CR-structure
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/3597286
OpenAlex ID: W2044629649
description: scientific article; zbMATH DE number 1877086