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arXiv · 1310.0786

Orderability and the Weinstein Conjecture

Peter Albers·Urs Fuchs·Will J. Merry
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Abstract

In this article we prove that the Weinstein conjecture holds for contact manifolds $(\Sigma,\xi)$ for which $\mathrm{Cont}_0(\Sigma,\xi)$ is non-orderable in the sense of Eliashberg-Polterovich [EP00]. More precisely, we establish a link between orderable and hypertight contact manifolds. In addition, we prove for certain contact manifolds a conjecture by Sandon [San13b] on the existence of translated points in the non-degenerate case.

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Peter Albers, Urs Fuchs, Will J. Merry. 2013-10-02. Orderability and the Weinstein Conjecture. https://doi.org/10.1112/s0010437x15007642

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