Des conditions nécessaires et suffisantes pour le plongement local de structures abstraites sont exprimées en terme de commutation des champs de vecteurs avec une algèbre de Lie complexe. Ces résultats s’étendent à des systèmes plus généraux.
Necessary and sufficient conditions for local embeddability of abstract structures are expressed in terms of the commutation of the vector fields with a complex Lie algebra. These results extend to more general systems.
@article{AIF_1987__37_3_131_0, author = {Baouendi, Salah and Rothschild, Linda P.}, title = {Embeddability of abstract {CR} structures and integrability of related systems}, journal = {Annales de l'Institut Fourier}, pages = {131--141}, publisher = {Imprimerie Louis-Jean}, address = {Gap}, volume = {37}, number = {3}, year = {1987}, doi = {10.5802/aif.1101}, mrnumber = {89c:32053}, zbl = {0619.58001}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1101/} }
TY - JOUR AU - Baouendi, Salah AU - Rothschild, Linda P. TI - Embeddability of abstract CR structures and integrability of related systems JO - Annales de l'Institut Fourier PY - 1987 SP - 131 EP - 141 VL - 37 IS - 3 PB - Imprimerie Louis-Jean PP - Gap UR - http://www.numdam.org/articles/10.5802/aif.1101/ DO - 10.5802/aif.1101 LA - en ID - AIF_1987__37_3_131_0 ER -
%0 Journal Article %A Baouendi, Salah %A Rothschild, Linda P. %T Embeddability of abstract CR structures and integrability of related systems %J Annales de l'Institut Fourier %D 1987 %P 131-141 %V 37 %N 3 %I Imprimerie Louis-Jean %C Gap %U http://www.numdam.org/articles/10.5802/aif.1101/ %R 10.5802/aif.1101 %G en %F AIF_1987__37_3_131_0
Baouendi, Salah; Rothschild, Linda P. Embeddability of abstract CR structures and integrability of related systems. Annales de l'Institut Fourier, Tome 37 (1987) no. 3, pp. 131-141. doi : 10.5802/aif.1101. http://www.numdam.org/articles/10.5802/aif.1101/
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