A dynamical characterization of universally tight lens spaces

Umberto L. Hryniewicz; Joan E. Licata; Pedro A.S. Salomão

doi:10.1112/plms/pdu043

A dynamical characterization of universally tight lens spaces

Umberto L. Hryniewicz, Joan E. Licata, Pedro A.S. Salomão

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

15 Citations (Scopus)

Abstract

We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M,E) to be a standard lens space based on assumptions on the Reeb flow associated to a defining contact form. Our methods also provide rational global surfaces of section for non-degenerate Reeb flows on (L(p, q), Estd) with prescribed binding orbits.

Original language	English
Pages (from-to)	213-269
Number of pages	57
Journal	Proceedings of the London Mathematical Society
Volume	110
Issue number	1
DOIs	https://doi.org/10.1112/plms/pdu043
Publication status	Published - 2015

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abstract = "We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M,E) to be a standard lens space based on assumptions on the Reeb flow associated to a defining contact form. Our methods also provide rational global surfaces of section for non-degenerate Reeb flows on (L(p, q), Estd) with prescribed binding orbits.",

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AB - We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M,E) to be a standard lens space based on assumptions on the Reeb flow associated to a defining contact form. Our methods also provide rational global surfaces of section for non-degenerate Reeb flows on (L(p, q), Estd) with prescribed binding orbits.

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JO - Proceedings of the London Mathematical Society

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A dynamical characterization of universally tight lens spaces

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