On the Integrability of Orthogonal Distributions in Poisson Manifolds

Authors

Daniel Fish, Portland State UniversityFollow
Serge Preston, Portland State UniversityFollow

Published In

Balkan Journal of Geometry and Its Applications

Document Type

Article

Publication Date

2010

Subjects

Poisson manifolds, Symplectic geometry, 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.

Description

This is the publisher's final PDF. Copyright Balkan Society of Geometers, Geometry Balkan Press 2010.

Persistent Identifier

http://archives.pdx.edu/ds/psu/13292

Citation Details

D. Fish, S. Preston, "On the Integrability of Orthogonal Distributions in Poisson Manifolds", Balkan Journal of the Geometry and Applications, Volume 15 (2010), No. 2, pp.49-60.