Analytic k-linearizability of some resonant Poisson structures

Authors
Basto-Goncalves, J Cruz, I
Citation
J. Basto-goncalves et I. Cruz, Analytic k-linearizability of some resonant Poisson structures, LETT MATH P, 49(1), 1999, pp. 59-66
Citations number
6
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
49
Issue
1
Year of publication
1999
Pages
59 - 66
Database
ISI
SICI code
0377-9017(199907)49:1<59:AKOSRP>2.0.ZU;2-F
Abstract
We consider analytic Poisson tensors P whose associated Lie algebra at a si ngular point is resonant (in the sense of J. P. Dufour (J. Differential Geo m. 30 (1990), 415-428)). We give sufficient conditions on the k-jet of P at the given point so that P is analytically linearizable.