Minimal Boundaries in Tonelli Lagrangian Systems

DOI10.1093/IMRN/RNZ246zbMath1487.37078arXiv1705.02488OpenAlexW2613630077WikidataQ127302862 ScholiaQ127302862MaRDI QIDQ5021182

Marco Mazzucchelli, Gabriele Benedetti, Luca Asselle

Publication date: 12 January 2022

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

Full work available at URL: https://arxiv.org/abs/1705.02488

zbMATH Keywords

Finsler metricsMañé critical valueTonelli Lagrangian systemsaction minimizing periodic orbits

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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