The Foliated Weinstein Conjecture

Á. Del Pino; F. Presas

doi:10.1093/imrn/rnx059

The Foliated Weinstein Conjecture

Á. Del Pino, F. Presas

Universidad Autónoma de Madrid

Research output: Contribution to journal › Article › Academic › peer-review

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
Pages (from-to)	5148–5177
Journal	International Mathematics Research Notices
Volume	2018
Issue number	16
DOIs	https://doi.org/10.1093/imrn/rnx059
Publication status	Published - Aug 2018
Externally published	Yes

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Final Manuscript - The foliated Weinstein conjectureAccepted author manuscript, 380 KB

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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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JO - International Mathematics Research Notices

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The Foliated Weinstein Conjecture

Abstract

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