Microlocal complex foliation of \(R\)-Lagrangian \(CR\) submanifolds
type: Item
instance of: scholarly article
title: Microlocal complex foliation of \(R\)-Lagrangian \(CR\) submanifolds
zbMATH Open document ID: 0893.32008
author: Giuseppe Zampieri
published in: Tsukuba Journal of Mathematics
publication date: 1998-04-14T00:00:00Z
review text: Let \(X\) be a complex manifold and \(X^R\) be the real analytic manifold underlying \(X\). Consider a submanifold \(M\) of \(X^R\) and suppose that the conormal bundle \(T^*_MX\) is regular and CR in the cotangent bundle \(T^*X\). The author proves that \(T^*_MX\) is locally defined on the zero set of the real and/or imaginary part of holomorphic symplectic coordinates of \(T^*X\). As an application he obtains a generalization of the celebrated Edge of the Wedge Theorem.
reviewed by: Aurel Bejancu
Mathematics Subject Classification ID: 32C25
Mathematics Subject Classification ID: 53C56
zbMATH DE Number: 1102896
zbMATH Keywords: CR-submanifold
zbMATH Keywords: cotangent bundle
zbMATH Keywords: conormal bundle
zbMATH Keywords: Edge and the Wedge theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163247
OpenAlex ID: W634476002
DOI: 10.21099/TKBJM/1496163247
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description: scientific article; zbMATH DE number 1102896