Geodesic
Rigidity of Poisson Structures
Informatics and Automation, Singularities and applications, Tome 267 (2009), pp. 266-279

Voir la notice de l'article provenant de la source Math-Net.Ru

We study germs of analytic Poisson structures which are suitable perturbations of a quasihomogeneous Poisson structure in a neighborhood of the origin of $\mathbb R^n$ or $\mathbb C^n$, a fixed point of the Poisson structures. We define a “diophantine condition” relative to the quasihomogeneous initial part $\mathcal L$ which ensures that such a good perturbation of $\mathcal L$ which is formally conjugate to $\mathcal L$ is also analytically conjugate to it. 
@article{TRSPY_2009_267_a20,
     author = {L. Stolovitch},
     title = {Rigidity of {Poisson} {Structures}},
     journal = {Informatics and Automation},
     pages = {266--279},
     publisher = {mathdoc},
     volume = {267},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_267_a20/}
}
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L. Stolovitch. Rigidity of Poisson Structures. Informatics and Automation, Singularities and applications, Tome 267 (2009), pp. 266-279. http://geodesic.mathdoc.fr/item/TRSPY_2009_267_a20/