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arXiv · 0909.3549

A smooth codimension-one foliation of the five-sphere by symplectic leaves

Pablo Suárez-Serrato·Alberto Verjovsky
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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.

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Pablo Suárez-Serrato, Alberto Verjovsky. 2009-09-18. A smooth codimension-one foliation of the five-sphere by symplectic leaves. https://arxiv.org/abs/0909.3549

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