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.
Original language | English |
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Pages (from-to) | 5148–5177 |
Journal | International Mathematics Research Notices |
Volume | 2018 |
Issue number | 16 |
DOIs | |
Publication status | Published - Aug 2018 |
Externally published | Yes |