A note on Reeb dynamics on the tight 3-sphere

Simple item page
dc.creatorBourgeois, F.
dc.creatorCieliebak, K.
dc.creatorEkholm, T.
dc.date2007-07-07
dc.date.accessioned2026-07-07T08:14:31Z
dc.date.available2026-07-07T08:14:31Z
dc.descriptionWe show that a nondegenerate tight contact form on the 3-sphere has exactly two simple closed Reeb orbits if and only if the differential in linearized contact homology vanishes. Moreover, in this case the Floquet multipliers and Conley-Zehnder indices of the two Reeb orbits agree with those of a suitable irrational ellipsoid in 4-space.
dc.description20 pages, no figures
dc.identifierhttps://arxiv.org/abs/0707.1068
dc.identifierhttp://arxiv.org/abs/0707.1068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133149
dc.subjectSymplectic Geometry
dc.subjectDynamical Systems
dc.titleA note on Reeb dynamics on the tight 3-sphere
dc.typetext

Files

Collections

arXiv