39 citations · 140 across the 18 of their papers we have counts for
3 papers · 1 filter
Quantitative conditions for right-handedness of flows
Anna Florio, Umberto Hryniewicz
We give a numerical condition for right-handedness of a dynamically convex Reeb flow on the -sphere. Our condition is stated in terms of an asymptotic ratio between the amount o…
Contact three-manifolds with exactly two simple Reeb orbits
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
It is known that every contact form on a closed three-manifold has at least two simple Reeb orbits, and a generic contact form has infinitely many. We show that if there are exactl…
Global surfaces of section with positive genus for dynamically convex Reeb flows
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring
We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of…