A geometric approach to Conn's linearization theorem

Marius Crainic, Rui Loja Fernandes

Research output: Contribution to journalArticlepeer-review

Abstract

We give a soft geometric proof of the classical result due to Conn stating that a Poisson structure is linearizable around a singular point (zero) at which the isotropy Lie algebra is compact and semisimple.

Original languageEnglish (US)
Pages (from-to)1121-1139
Number of pages19
JournalAnnals of Mathematics
Volume173
Issue number2
DOIs
StatePublished - Mar 2011
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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