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20082025
most citedSharp systolic inequalities for Reeb flows on the three-sphere

39 citations · 140 across the 18 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.DS2019★ 1 cited

Genus zero global surfaces of section for Reeb flows and a result of Birkhoff

Umberto L. Hryniewicz, Pedro A. S. Salomão, Krzysztof Wysocki

We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a closed -manifold to bound a positive global surface of section with genus zero. T…

math.DS2019

A note on Schwartzman-Fried-Sullivan Theory, with an application

Umberto L. Hryniewicz

We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a refinement of a result due…