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On the Integrability of Orthogonal Distributions in Poisson Manifolds | Dan Fish
; Serge Preston
; | Date: |
8 May 2004 | Subject: | Symplectic Geometry; Differential Geometry MSC-class: 53D17, 58A30, 53B21 | math.SG math.DG | 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. | Source: | arXiv, math.SG/0405149 | Services: | Forum | Review | PDF | Favorites |
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