The sharp energy-capacity inequality on convex symplectic manifolds
Symplectic Geometry
2023-08-15 v1
Abstract
In symplectic geometry, symplectic invariants are useful tools in studying symplectic phenomena. Hofer-Zehnder capacity and displacement energy are important symplectic invariants. Usher proved the so-called sharp energy-capacity inequality between Hofer-Zehnder capacity and the displacement energy for closed symplectic manifolds. In this paper, we extend the sharp energy-capacity inequality to convex symplectic manifolds.
Keywords
Cite
@article{arxiv.1903.07051,
title = {The sharp energy-capacity inequality on convex symplectic manifolds},
author = {Yoshihiro Sugimoto},
journal= {arXiv preprint arXiv:1903.07051},
year = {2023}
}