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}, volume = {37}, year = {1987}, pages = {131-141}, doi = {10.5802/aif.1101}, mrnumber = {89c:32053}, zbl = {0619.58001}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 131-141. doi : 10.5802/aif.1101. http://gdmltest.u-ga.fr/item/AIF_1987__37_3_131_0/
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