Showing 2020Show all
2 papers · 1 filter
math.SG2020
Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities
Joontae Kim, Seongchan Kim, Myeonggi Kwon
In this note we study the systoles of convex hypersurfaces in invariant under an anti-symplectic involution. We investigate a uniform upper bound of the ratio bet…
math.DS2020
Symmetric periodic orbits and invariant disk-like global surfaces of section on the three-sphere
Seongchan Kim
We study Reeb dynamics on the three-sphere equipped with a tight contact form and an anti-contact involution. We prove the existence of a symmetric periodic orbit and provide neces…