Formal normalization for Poisson structures

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For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable.

Original languageEnglish (US)
Pages (from-to)531-536
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number5
StatePublished - Mar 1997

All Science Journal Classification (ASJC) codes

  • General Mathematics


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