A dynamical characterization of universally tight lens spaces
Hryniewicz, Umberto L. · Licata, Joan E. · Salomão, Pedro A. S.
Original · EN
We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M,ξ) 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 nondegenerate Reeb flows on (L(p,q),ξ std) with prescribed binding orbits.
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