Umberto L. Hryniewicz

activity

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

collaborators

Showing 2011Show all

3 papers · 1 filter

math.DS2011★ 20 cited

A Poincaré-Birkhoff theorem for tight Reeb flows on $S^{3}$

Umberto Hryniewicz, Al Momin, Pedro A. S. Salomão

We consider Reeb flows on the tight $3$ -sphere admitting a pair of closed orbits forming a Hopf link. If the rotation numbers associated to the transverse linearized dynamics at th…

math.SG2011

Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere

Umberto Hryniewicz

We characterize which closed Reeb orbits of a dynamically convex contact form on the 3-sphere bound disk-like global surfaces of section for the Reeb flow, without any genericity a…

math.SG2011★ 12 cited

Global properties of tight Reeb flows with applications to Finsler geodesic flows on $S^{2}$

Umberto Hryniewicz, Pedro A. S. Salomão

We show that if a Finsler metric on $S^{2}$ with reversibility $r$ has flag curvatures $K$ satisfying $(\frac{r}{r + 1})^{2} < K \leq 1$ , then closed geodesics with specific contact-topol…

A Poincaré-Birkhoff theorem for tight Reeb flows on S3

Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere

Global properties of tight Reeb flows with applications to Finsler geodesic flows on S2

A Poincaré-Birkhoff theorem for tight Reeb flows on $S^{3}$

Global properties of tight Reeb flows with applications to Finsler geodesic flows on $S^{2}$