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Lie bracket as a tensor

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#differential-geometry #lie-algebras #differential-forms #poisson-geometry
53
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Rank of a Poisson structure is always even

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#manifolds #poisson-geometry
79
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Rank of Poisson matrix and rank of Poisson structure are equal

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#manifolds #poisson-geometry
56
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References for equivalent notions of Poisson structure on a manifold

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#differential-geometry #poisson-geometry
130
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Flow of a hamiltonian vector field as a Poisson map

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#differential-geometry #poisson-geometry
55
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Bound on $L^2$ norm of Poisson bracket

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#functional-analysis #poisson-geometry
92
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Is there a natural way to build a volume form on an oriented Poisson manifold?

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#differential-geometry #orientation #poisson-geometry
108
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Poisson bracket vs. bivector fields

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#differential-geometry #poisson-geometry
45
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Definition and proposition about a left-invariant of Poisson structure

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#geometry #differential-geometry #riemannian-geometry #poisson-geometry
98
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Hamiltonian vector field and fibers

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#differential-geometry #symplectic-geometry #fiber-bundles #poisson-geometry
52
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On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 1.3-1.

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#differential-geometry #poisson-geometry #skew-mapping #derivations #bilinear-operator
82
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On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 1.6-1.

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#functional-analysis #vector-fields #gateaux-derivative #poisson-geometry
74
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Poisson bracket with the symplectic form

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#linear-algebra #differential-geometry #symplectic-geometry #poisson-geometry
124
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A vector field is Poisson iff its flow is a Poisson diffeomorphism

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#differential-geometry #vector-fields #symplectic-geometry #poisson-geometry
82
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Hamiltonian diffeomorphisms on a Poisson manifold

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#differential-geometry #symplectic-geometry #diffeomorphism #poisson-geometry

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