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.
Symplectic capacities of disc cotangent bundles of flat tori / Benedetti, G.; Bimmermann, J.; Zehmisch, K.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 152:12(2024), pp. 5367-5372. [10.1090/proc/17018]
Symplectic capacities of disc cotangent bundles of flat tori
Benedetti G.;
2024-01-01
Abstract
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.File in questo prodotto:
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