A note on Reeb dynamics on the tight 3-sphere

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We 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.
20 pages, no figures

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Symplectic Geometry, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/133149

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1068
 http://arxiv.org/abs/0707.1068

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arXiv