A smooth codimension-one foliation of the five-sphere by symplectic leaves
arXiv:0909.3549
Abstract
We construct a smooth codimension-one foliation on the five-sphere in which every leaf is a symplectic four-manifold and such that the symplectic structure varies smoothly. Our construction implies the existence of a complete regular Poisson structure on the five-sphere.
We have withdrawn our paper due to a mistake in the main reference paper and errors in our construction. More over our result has been superseded by Y. Mitsumatsu (arXiv:1101.2319 Leafwise Symplectic Structures on Lawson's Foliation)