# ANNALES DE L'INSTITUT FOURIER

New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions)
Annales de l'Institut Fourier, Volume 39 (1989) no. 3, pp. 811-823.

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.

De nouveaux exemples de structures $CR$ non réalisables sont donnés. Ils sont basés sur une construction simple qui consiste à recoller deux structures plongées. Ces exemples semblent améliorer en partie des exemples anciens de Nirenberg, et Jacobowitz et Trèves, mais l’avantage principal en est peut-être le caractère transparent, qui en rend l’étude facile.

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author = {Rosay, Jean-Pierre},
title = {New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions)},
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Rosay, Jean-Pierre. New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions). Annales de l'Institut Fourier, Volume 39 (1989) no. 3, pp. 811-823. doi : 10.5802/aif.1189. https://aif.centre-mersenne.org/articles/10.5802/aif.1189/

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