Foliations on \(CR\) manifolds
type: Item
instance of: scholarly article
title: Foliations on \(CR\) manifolds
zbMATH Open document ID: 0766.32008
author: Zuhong Han
published in: Science in China. Series A
publication date: 1993-01-17T00:00:00Z
review text: The author performs the study of foliations on (not necessarily embedded) CR-manifolds. He shows that for such a manifold \(M\), there exists a foliation s.t. every leaf is a completely non-integrable CR-submanifold of \(M\) and has the same complex tangent space as \(M\). The existence of the Levi foliation for the abstract case is proved and some of its geometric properties are investigated, thus generalizing some known results for the case of embedded CR-manifolds [see e.g. \textit{M. Freeman}, Proc. Am. Math. Soc. 57, 369-370 (1976; Zbl 0328.32006)].
Mathematics Subject Classification ID: 32V99
Mathematics Subject Classification ID: 32V05
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 98069
zbMATH Keywords: foliations
zbMATH Keywords: CR-manifolds
reviewed by: Eugen Pascu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 98069