Sharp systolic inequalities for Riemannian and Finsler spheres of revolution

DOI10.1090/tran/8233zbMath1460.53037arXiv1808.06995OpenAlexW3093538742WikidataQ115280136 ScholiaQ115280136MaRDI QIDQ4963629

Pedro A. S. Salomão, Barney Bramham, Alberto Abbondandolo, Umberto L. Hryniewicz

Publication date: 19 February 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06995

zbMATH Keywords

Finsler metricssystolic ratioZoll

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Global Riemannian geometry, including pinching (53C20) Periodic orbits of vector fields and flows (37C27) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (3)

Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities ⋮ GEODESICALLY REVERSIBLE BLASCHKE FINSLER METRICS ON SPHERES ⋮ Sharp systolic inequalities for rotationally symmetric 2-orbifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A systolic inequality for geodesic flows on the two-sphere
• On the systole of the sphere in the proximity of the standard metric
• Area and the length of the shortest closed geodesic
• On metrics on \(S^ 2\) all of whose geodesics are closed
• The Radon transform on Zoll surfaces
• Conjugacy and rigidity for manifolds with a parallel vector field
• Sharp systolic inequalities for Reeb flows on the three-sphere
• On the volume of manifolds all of whose geodesics are closed
• A volume comparison theorem for Finsler manifolds
• Über das Navigationsproblem bei ruhender oder veränderlicher Windverteilung
• The length of a shortest closed geodesic and the area of a 2-dimensional sphere

This page was built for publication: Sharp systolic inequalities for Riemannian and Finsler spheres of revolution