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Poisson manifold

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  1. a differential manifold M such that the algebra C∞ of smooth functions over M is equipped with a bilinear map called the Poisson bracket, turning it into a Poisson algebra

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 25, 2009
  2. a Poisson manifold with a complex or almost complex structure J such that the complex structure preserves the bivector: The symplectic leaves of a complex Poisson manifold are pseudo-Kähler manifolds

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 25, 2009
  3. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 25, 2009
  4. Every symplectic manifold is a Poisson manifold but not vice versa

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 25, 2009
  5. on M is a bilinear map such that the bracket is skew symmetric: obeys the Jacobi identity: and is a derivation of C∞(M) in its first argument: The last property allows several equivalent formulations

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 25, 2009
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