On the relative CR structure
type: Item
instance of: scholarly article
title: On the relative CR structure
zbMATH Open document ID: 0654.32012
author: Kôsaku Hotta
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: Let \(\bar M\) be a compact complex manifold with boundary \(M_ 0\) and let \(\bar N\) be a closed submanifold of \(\bar M\) with boundary \(N_ 0\). The author considers the extension problem of deformations of relative CR structure on \((M_ 0,N_ 0)\) to deformations of relative complex structure on \((\bar M,\bar N)\). He obtains, under some conditions, the extendability of deformations. He announces the existence of a versal family of deformations of the relative complex structure of \((\bar M,\bar N)\) leaving the relative CR structure on \((M_ 0,N_ 0)\) fixed.
Mathematics Subject Classification ID: 32G07
zbMATH DE Number: 4067334
zbMATH Keywords: relative CR structure
zbMATH Keywords: deformations of the relative complex structure
reviewed by: Shinichi Tajima
MaRDI profile type: Publication
full work available at URL: pjaa.63.42
OpenAlex ID: W2043130194
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DOI: 10.3792/PJAA.63.42
description: scientific article; zbMATH DE number 4067334