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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.SG2023
Symplectic capacities of domains close to the ball and Banach-Mazur geodesics in the space of contact forms
Alberto Abbondandolo, Gabriele Benedetti, Oliver Edtmair
We prove that all normalized symplectic capacities coincide on smooth domains in which are -close to the Euclidean ball, whereas this fails for some smooth domai…
math.SG2022
Disk-like surfaces of section and symplectic capacities
Oliver Edtmair
We prove that the cylindrical capacity of a dynamically convex domain in agrees with the least symplectic area of a disk-like global surface of section of the Reeb f…