A geometric approach to Conn's linearization theorem

Marius Crainic; Rui Loja Fernandes

doi:10.4007/annals.2011.173.2.14

A geometric approach to Conn's linearization theorem

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1121-1139
Number of pages	19
Journal	Annals of Mathematics
Volume	173
Issue number	2
DOIs	https://doi.org/10.4007/annals.2011.173.2.14
State	Published - Mar 2011
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2011.173.2.14

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A geometric approach to Conn's linearization theorem

Abstract

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