2 papers
math.SG2024
On closed characteristics of minimal action on a convex three-sphere
Alberto Abbondandolo, Oliver Edtmair, Jungsoo Kang
We prove that every closed characteristic of minimal action on the boundary of a uniformly convex domain in bounds a disk-like global surface of section. A corollary is that…
math.SG2024
Strong Arnold chord conjecture via normalized capacities
Jungsoo Kang, Jun Zhang
We show that every dynamically convex toric domain in admits a -neighborhood within the space of star-shaped domains of with the follo…