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arXiv 2013-10-02 DOI 10.1112/S0010437X15007642 0 views

Orderability and the Weinstein Conjecture

Albers, Peter · Fuchs, Urs · Merry, Will J.

Original · EN

In this article we prove that the Weinstein conjecture holds for contact manifolds (Σ,ξ) for which Cont₀(Σ,ξ) 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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