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- Poisson_manifold abstract "In mathematics, a Poisson manifold is a smooth manifold equipped with a bilinear map (called a Poisson bracket) on the algebra of smooth functions on such that is a Poisson algebra. One usually denotes a Poisson manifold by the ordered pair . Since their introduction by André Lichnerowicz in 1977, the subjects of Poisson geometry and the cohomology of Poisson manifolds have developed into a wide field of research, which includes modern-day non-commutative geometry.It is a fact that every symplectic manifold is a Poisson manifold but not vice-versa. This will be explained in Section 2.".
- Poisson_manifold wikiPageExternalLink S0273-0979-96-00644-1.pdf.
- Poisson_manifold wikiPageID "882902".
- Poisson_manifold wikiPageRevisionID "583857417".
- Poisson_manifold hasPhotoCollection Poisson_manifold.
- Poisson_manifold subject Category:Differential_geometry.
- Poisson_manifold subject Category:Smooth_manifolds.
- Poisson_manifold subject Category:Symplectic_geometry.
- Poisson_manifold type Artifact100021939.
- Poisson_manifold type Conduit103089014.
- Poisson_manifold type Manifold103717750.
- Poisson_manifold type Object100002684.
- Poisson_manifold type Passage103895293.
- Poisson_manifold type PhysicalEntity100001930.
- Poisson_manifold type Pipe103944672.
- Poisson_manifold type SmoothManifolds.
- Poisson_manifold type Tube104493505.
- Poisson_manifold type Way104564698.
- Poisson_manifold type Whole100003553.
- Poisson_manifold type YagoGeoEntity.
- Poisson_manifold type YagoPermanentlyLocatedEntity.
- Poisson_manifold comment "In mathematics, a Poisson manifold is a smooth manifold equipped with a bilinear map (called a Poisson bracket) on the algebra of smooth functions on such that is a Poisson algebra. One usually denotes a Poisson manifold by the ordered pair .".
- Poisson_manifold label "Poisson manifold".
- Poisson_manifold label "Poisson-Mannigfaltigkeit".
- Poisson_manifold label "Varietà di Poisson".
- Poisson_manifold label "ポアソン多様体".
- Poisson_manifold label "泊松流形".
- Poisson_manifold sameAs Poisson-Mannigfaltigkeit.
- Poisson_manifold sameAs Varietà_di_Poisson.
- Poisson_manifold sameAs ポアソン多様体.
- Poisson_manifold sameAs m.03lhvj.
- Poisson_manifold sameAs Q1464936.
- Poisson_manifold sameAs Q1464936.
- Poisson_manifold sameAs Poisson_manifold.
- Poisson_manifold wasDerivedFrom Poisson_manifold?oldid=583857417.
- Poisson_manifold isPrimaryTopicOf Poisson_manifold.