Local structural stability of C 2 integrable 1-forms
Annales de l'Institut Fourier, Tome 27 (1977) no. 2, pp. 197-225.

Dans ce travail, on considère une classe de germes de singularités de 1-formes intégrables dans R n qui sont C r structuralement stables (r≥2 si n=3, r≥4 si n≥4). Dans cette classe la stabilité dépend essentiellement de ce que les perturbations permises sont intégrables.

In this work we consider a class of germs of singularities of integrable 1-forms in R n which are structurally stable in class C r (r≥2 if n=3, r≥4 if n≥4), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.

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     author = {Lins Neto, Alcides },
     title = {Local structural stability of $C^2$ integrable 1-forms},
     journal = {Annales de l'Institut Fourier},
     pages = {197--225},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {27},
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     year = {1977},
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Lins Neto, Alcides . Local structural stability of $C^2$ integrable 1-forms. Annales de l'Institut Fourier, Tome 27 (1977) no. 2, pp. 197-225. doi : 10.5802/aif.657. http://www.numdam.org/articles/10.5802/aif.657/

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