On the Integrability of Orthogonal Distributions in Poisson Manifolds

Mathematics – Symplectic Geometry

Scientific paper

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19 pages

Scientific paper

We study conditions for the integrability of the distribution defined on a
regular Poisson manifold as the orthogonal complement (with respect to some
(pseudo)-Riemannian metric) to the tangent spaces of the leaves of a symplectic
foliation. Examples of integrability and non-integrability of this distribution
are provided.

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