A geometric approach to Conn's linearization theorem
Publication date
2011
Authors
Crainic, Marius
Fernandes, R.L.
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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.
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Crainic, M & Fernandes, R L 2011, 'A geometric approach to Conn's linearization theorem', Annals of Mathematics, vol. 173, pp. 1121-1139. https://doi.org/10.4007/annals.2011.173.2.14