Symplectic capacities of disc cotangent bundles of flat tori

Autor: Benedetti, Gabriele, Bimmermann, Johanna, Zehmisch, Kai
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We show that on the unit disc cotangent bundle of flat Riemannian tori, all normalized capacities coincide with twice the systole. The same result holds for flat, reversible Finsler tori and normalized capacities that are greater than or equal to the Hofer-Zehnder capacity.
Comment: 6 pages. Comments are welcome! Fixed some typos. To appear in Proceedings of the AMS
Databáze: arXiv