Levi decomposition for smooth Poisson structures

dc.creatorMonnier, Philippe
dc.creatorZung, Nguyen Tien
dc.date2002-09-01
dc.date2004-05-04
dc.date.accessioned2026-07-07T04:50:31Z
dc.date.available2026-07-07T04:50:31Z
dc.descriptionWe prove the existence of a local smooth Levi decomposition for smooth Poisson structures and Lie algebroids near a singular point. In the appendix of this paper, we show an abstract Nash-Moser normal form theorem, which generalizes our Levi decomposition result and which may be helpful in the study of other smooth normal form problems.
dc.description38 pages. The proof of the main theorem is simplified. An appendix about an abstract Nash-Moser normal form theorem is added
dc.identifierhttps://arxiv.org/abs/math/0209004
dc.identifierhttp://arxiv.org/abs/math/0209004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64818
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D17, 32S65
dc.titleLevi decomposition for smooth Poisson structures
dc.typetext

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