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Bibliographic Details
Main Authors: Gluck, Herman, Yang, Jingye
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1901.06370
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Table of Contents:
  • 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.