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Local structural stability of C 2 integrable 1-forms

Alcides Lins Neto (1977)

Annales de l'institut Fourier

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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