De nouveaux exemples de structures 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.
We construct examples of non-locally embeddable 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.
@article{AIF_1989__39_3_811_0, author = {Rosay, Jean-Pierre}, title = {New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions)}, journal = {Annales de l'Institut Fourier}, pages = {811--823}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {39}, number = {3}, year = {1989}, doi = {10.5802/aif.1189}, zbl = {0674.32008}, mrnumber = {1030851}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1189/} }
TY - JOUR AU - Rosay, Jean-Pierre TI - New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions) JO - Annales de l'Institut Fourier PY - 1989 SP - 811 EP - 823 VL - 39 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1189/ DO - 10.5802/aif.1189 LA - en ID - AIF_1989__39_3_811_0 ER -
%0 Journal Article %A Rosay, Jean-Pierre %T New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions) %J Annales de l'Institut Fourier %D 1989 %P 811-823 %V 39 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1189/ %R 10.5802/aif.1189 %G en %F AIF_1989__39_3_811_0
Rosay, Jean-Pierre. New examples of non-locally embeddable $CR$ structures (with no non-constant $CR$ distributions). Annales de l'Institut Fourier, Tome 39 (1989) no. 3, pp. 811-823. doi : 10.5802/aif.1189. http://www.numdam.org/articles/10.5802/aif.1189/
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