Equality Cases in Viterbo’s Conjecture and Isoperimetric Billiard Inequalities

DOI10.1093/imrn/rny076zbMath1441.52008arXiv1512.01657OpenAlexW2759630949WikidataQ123019195 ScholiaQ123019195MaRDI QIDQ5108330

Alexey Balitskiy

Publication date: 4 May 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01657

zbMATH Keywords

permutohedronbilliard trajectoriesViterbo's conjectureisoperimetric-like inequalities

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (4)

A regularity result for shortest generalized billiard trajectories in convex bodies in \(\mathbb{R}^n\) ⋮ Coisotropic Hofer-Zehnder capacities of convex domains and related results ⋮ Viterbo's conjecture as a worm problem ⋮ Computing Reeb dynamics on four-dimensional convex polytopes

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