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- W1574296185 abstract "We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first-order approximation (not necessarily linear) of a given Poisson structure or Lie algebroid at a singular point. The main tools used here are the classical Lichnerowicz-Poisson cohomology and the deformation cohomology for Lie algebroids recently introduced by Crainic and Moerdijk. We also provide several examples of stable singular points of order k≥1 for Poisson structures and Lie algebroids. Finally, we apply our results to pre-symplectic leaves of Dirac manifolds." @default.
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- W1574296185 date "2006-01-01" @default.
- W1574296185 modified "2023-09-26" @default.
- W1574296185 title "Stability of higher order singular points of Poisson manifolds and Lie algebroids" @default.
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- W1574296185 doi "https://doi.org/10.5802/aif.2193" @default.
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