The Foliated Weinstein Conjecture
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2018-08
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Abstract
A foliation is said to admit a foliated contact structure if there is a codimension 1 distribution in the tangent space of the foliation such that the restriction to any leaf is contact. We prove a version of the Weinstein conjecture for Reeb vector fields in the presence of an overtwisted leaf. The result is shown to be sharp.
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Del Pino, Á & Presas, F 2018, 'The Foliated Weinstein Conjecture', International Mathematics Research Notices, vol. 2018, no. 16, pp. 5148–5177. https://doi.org/10.1093/imrn/rnx059