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

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Showing 2012Show all

2 papers · 1 filter

math.SG2012

Closed Reeb orbits on the sphere and symplectically degenerate maxima

Viktor L. Ginzburg, Doris Hein, Umberto L. Hryniewicz +1

We show that the existence of one simple closed Reeb orbit of a particular type (a symplectically degenerate maximum) forces the Reeb flow to have infinitely many periodic orbits.…

math.SG2012

Local contact homology and applications

Umberto Hryniewicz, Leonardo Macarini

We introduce a local version of contact homology for an isolated periodic orbit of the Reeb flow and prove that its rank is uniformly bounded for isolated iterations. Several appli…