A dynamical characterization of universally tight lens spaces

作者：Hryniewicz Umberto L^*; Licata Joan E; Salomao Pedro A S

来源：Proceedings of the London Mathematical Society, 2015, 110(1): 213-269.

DOI：10.1112/plms/pdu043

We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M, xi) 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), xi(std)) with prescribed binding orbits.

• 出版日期2015-1