New examples of non-locally embeddable CR structures (with no non- constant CR distributions)
type: Item
instance of: scholarly article
title: New examples of non-locally embeddable CR structures (with no non- constant CR distributions)
zbMATH Open document ID: 0674.32008
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74853
review text: We construct examples of non locally embeddable CR structures. These examples may show some improvement on previous examples by Nirenberg, and Jacobowitz and Trèves. They are based on a simple construction which consists in gluing two embedded structures. And (this is our main point) we believe that these examples are very transparent, therefore easy to work with.
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 4103450
zbMATH Keywords: non locally embeddable CR structures
author: Jean-Pierre Rosay
MaRDI profile type: Publication
OpenAlex ID: W2313695563
cites work: A new approach to the local embedding theorem of CR-structures for 𝑛≥4 (the local solvability for the operator \overline∂_{𝑏} in the abstract sense)
cites work: The canonical bundle and realizable CR hypersurfaces
cites work: Non-realizable CR structures
cites work: Strongly pseudoconvex CR structures over small balls. III: An embedding theorem
cites work: A theorem on holomorphic extension of CR-functions
cites work: Q5685459
cites work: ON A QUESTION OF HANS LEWY
cites work: Rado's Theorem for CR-Functions
cites work: Hypoellipticity of a system of complex vector fields
cites work: Q3662334
cites work: Q3900553
cites work: On the proof of Kuranishi's embedding theorem
cites work: A Newlander-Nirenberg theorem for manifolds with boundary
DOI: 10.5802/AIF.1189
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4103450