Poisson manifold
In differential geometry, a Poisson structure on a smooth manifold is a Lie bracket (called a Poisson bracket in this special case) on the algebra of smooth functions on , subject to the Leibniz rule . Equivalently, defines a Lie algebra structure on the vector space of smooth functions on such that is a vector field for each smooth function (making into a Poisson algebra). Poisson structures are named after the French mathematician Siméon Denis Poisson.
Alan WeinsteinAlexandre Mikhailovich VinogradovAlmost complex manifoldAndré Lichnerowicz PrizeCanonical quantizationCharles-Michel MarleChelsea WaltonComplex Poisson manifoldCourant algebroidCourant bracketCyclic homologyErich KählerFirst class constraintGabriele VezzosiGeneralized complex structureGeometric quantizationGerstenhaber algebraGlossary of areas of mathematicsGlossary of symplectic geometryGroupoidHamiltonian vector fieldHopf algebroidJanusz GrabowskiKontsevich quantization formulaLie algebroidLie bialgebraLie bialgebroidList of differential geometry topicsList of mathematical topics in classical mechanicsList of things named after Siméon Denis PoissonMarius CrainicMaxim KontsevichMoyal productNambu mechanicsNigel HitchinNon-autonomous mechanicsOperadPoisson algebraPoisson bivectorPoisson bracket
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Poisson manifold
In differential geometry, a Poisson structure on a smooth manifold is a Lie bracket (called a Poisson bracket in this special case) on the algebra of smooth functions on , subject to the Leibniz rule . Equivalently, defines a Lie algebra structure on the vector space of smooth functions on such that is a vector field for each smooth function (making into a Poisson algebra). Poisson structures are named after the French mathematician Siméon Denis Poisson.
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Als Poisson-Mannigfaltigkeit b ...... ematiker Siméon Denis Poisson.
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En geometría simpléctica, una ...... se han establecido relaciones.
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En géométrie, une structure de ...... cteurs hamiltonien associé à .
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In differential geometry, a Po ...... matician Siméon Denis Poisson.
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Una varietà di Poisson è una v ...... e a questo contesto più ampio.
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在数学中，泊松流形（Poisson manifold）是一个 ...... 括号，将其变成泊松代数。 每个辛流形是泊松流形，反之则不然。
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多様体 M がポアソン多様体（ポアソンたようたい、英: Po ...... 写像 を M 上のポアソン構造、もしくはポアソン括弧と呼ぶ。
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Als Poisson-Mannigfaltigkeit b ...... ematiker Siméon Denis Poisson.
@de
En geometría simpléctica, una ...... satisface la regla de Leibniz:
@es
En géométrie, une structure de ...... cteurs hamiltonien associé à .
@fr
In differential geometry, a Po ...... matician Siméon Denis Poisson.
@en
Una varietà di Poisson è una v ...... zza la meccanica hamiltoniana.
@it
在数学中，泊松流形（Poisson manifold）是一个 ...... 括号，将其变成泊松代数。 每个辛流形是泊松流形，反之则不然。
@zh
多様体 M がポアソン多様体（ポアソンたようたい、英: Po ...... 写像 を M 上のポアソン構造、もしくはポアソン括弧と呼ぶ。
@ja
label
Poisson manifold
@en
Poisson-Mannigfaltigkeit
@de
Variedades de Poisson
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Varietà di Poisson
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Variété de Poisson
@fr
ポアソン多様体
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泊松流形
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푸아송 다양체
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