Local structural stability of <span class="mathjax-formula">$C^2$</span> integrable 1-forms

Neto, Alcides Lins

doi:10.5802/aif.657

Local structural stability of

C^{2}

integrable 1-forms

Neto, Alcides Lins

Annales de l'Institut Fourier, Tome 27 (1977) no. 2, pp. 197-225.

Résumé
Abstract

Dans ce travail, on considère une classe de germes de singularités de 1-formes intégrables dans $R^{n}$ qui sont $C^{r}$ structuralement stables ( $r \geq 2$ si $n = 3$ , $r \geq 4$ si $n \geq 4$ ). 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 $C^{r}$ ( $r \geq 2$ if $n = 3$ , $r \geq 4$ if $n \geq 4$ ), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.

MR 58 #2848 | Zbl 0356.58008 | 2 citations dans Numdam

DOI : https://doi.org/10.5802/aif.657

BibTeX
RIS

@article{AIF_1977__27_2_197_0,
     author = {Neto, Alcides Lins},
     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},
     number = {2},
     year = {1977},
     doi = {10.5802/aif.657},
     zbl = {0356.58008},
     mrnumber = {58 #2848},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.657/}
}

TY  - JOUR
AU  - Neto, Alcides Lins
TI  - Local structural stability of $C^2$ integrable 1-forms
JO  - Annales de l'Institut Fourier
PY  - 1977
DA  - 1977///
SP  - 197
EP  - 225
VL  - 27
IS  - 2
PB  - Institut Fourier
PP  - Grenoble
UR  - http://archive.numdam.org/articles/10.5802/aif.657/
UR  - https://zbmath.org/?q=an%3A0356.58008
UR  - https://www.ams.org/mathscinet-getitem?mr=58 #2848
UR  - https://doi.org/10.5802/aif.657
DO  - 10.5802/aif.657
LA  - en
ID  - AIF_1977__27_2_197_0
ER  -

Neto, Alcides Lins. 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://archive.numdam.org/articles/10.5802/aif.657/

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