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arXiv · 1901.06370

Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres

Herman Gluck·Jingye Yang
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Abstract

It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact structure, in fact a tight one, but we show here that, beginning with the 5-sphere, there exist smooth great circle fibrations of all odd-dimensional spheres for which the hyperplane distribution orthogonal to the fibres is not a contact structure.

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Herman Gluck, Jingye Yang. 2019-01-18. Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres. https://arxiv.org/abs/1901.06370

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