6 citations · 16 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits
Joontae Kim, Seongchan Kim, Myeonggi Kwon
The aim of this article is to apply a Floer theory to study symmetric periodic Reeb orbits. We define positive equivariant wrapped Floer homology using a (anti-)symplectic involuti…
On a convex embedding of the Euler problem of two fixed centers
Seongchan Kim
In this article, we study a convex embedding for the Euler problem of two fixed centers for energies below the critical energy level. We prove that the doubly-covered elliptic coor…
Homoclinic orbits in the Euler problem of two fixed centers
Seongchan Kim
We give a complete description of the shapes and the behavior of all homoclinic orbits in the Euler problem of two fixed centers.
Dynamical convexity of the Euler problem of two fixed centers
Seongchan Kim
We give thorough analysis for the rotation functions of the critical orbits from which one can understand bifurcations of periodic orbits. Moreover, we give explicit formulas of th…