SYMPLECTIC CAPACITIES OF DISC COTANGENT BUNDLES OF FLAT TORI

Gabriele Benedetti; Johanna Bimmermann; Kai Zehmisch

doi:10.1090/proc/17018

SYMPLECTIC CAPACITIES OF DISC COTANGENT BUNDLES OF FLAT TORI

Gabriele Benedetti, Johanna Bimmermann, Kai Zehmisch

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	5367-5372
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	12
Early online date	10 Oct 2024
DOIs	https://doi.org/10.1090/proc/17018
Publication status	Published - Dec 2024

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©2024 American Mathematical Society.

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title = "SYMPLECTIC CAPACITIES OF DISC COTANGENT BUNDLES OF FLAT TORI",

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.",

author = "Gabriele Benedetti and Johanna Bimmermann and Kai Zehmisch",

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SYMPLECTIC CAPACITIES OF DISC COTANGENT BUNDLES OF FLAT TORI

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