On the Integrability of Orthogonal Distributions in Poisson Manifolds

2004/05/08 by Dan Fish, Fish, Dan, Serge Preston +1
Mathematics · #53B21 #53D17 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53B21 #msc:53D17 #msc:58A30

paper · pdf · doi:10.48550/arxiv.math/0405149

19 pages

arxiv created 2005/05/03 · arxiv updated 2009/12/01

Abstract

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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