Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue
type: Item
instance of: scholarly article
title: Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue
zbMATH Open document ID: 1046.32012
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2004-03-07T00:00:00Z
review text: Let \(M\) be a CR manifold of CR codimension \(1\). The author shows that, under the assumption that \(M\) is of finite type and has a Levi form which is positive semidefinite and has at most one zero eigenvalue, the given CR structure on \(M\) can be extended to an integrable almost complex structure on the concave side of \(M\), so that \(M\) can be regarded as the boundary of a complex manifold.
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V25
Mathematics Subject Classification ID: 32G05
Mathematics Subject Classification ID: 32G07
Mathematics Subject Classification ID: 32V35
zbMATH DE Number: 2052002
zbMATH Keywords: one-side embedding
zbMATH Keywords: \(CR\) structures
author: Sanghyun Cho
MaRDI profile type: Publication
OpenAlex ID: W2017718953
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DOI: 10.2748/TMJ/1113247478
description: scientific article; zbMATH DE number 2052002