On the Greenfield-Wallach and Katok conjectures

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dc.creatorForni, Giovanni
dc.date2007-06-27
dc.date.accessioned2026-07-07T08:12:39Z
dc.date.available2026-07-07T08:12:39Z
dc.descriptionWe survey recent progress on the Greenfield-Wallach and Katok conjectures on globally hypoelliptic and cohomology free vector fields and derive a proof of the conjectures in dimension three. The argument is primarily based on recent work of F. and J. Rodriguez Hertz which allows us to reduce the question to the case of a Reeb flow for a contact form. The contact case is settled by invoking the Weinstein conjecture (which has been recently announced by C. Taubes).
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0706.3981
dc.identifierhttp://arxiv.org/abs/0706.3981
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132525
dc.subjectDynamical Systems
dc.subject37C10, 37C15, 35H10
dc.titleOn the Greenfield-Wallach and Katok conjectures
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