On the Integrability of Orthogonal Distributions in Poisson Manifolds
Symplectic Geometry
2007-05-23 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0405149,
title = {On the Integrability of Orthogonal Distributions in Poisson Manifolds},
author = {Dan Fish and Serge Preston},
journal= {arXiv preprint arXiv:math/0405149},
year = {2007}
}
Comments
19 pages