Minimal measures on surfaces of higher genus

DOI10.1016/j.jde.2009.06.026zbMath1220.37046OpenAlexW1977519482MaRDI QIDQ1040607

Fang Wang

Publication date: 25 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.026

zbMATH Keywords

autonomous Tonelli Lagrangian on compact surfacesminimal measure with rotation vector distributed on finitely many periodic orbitsrational homology class

Mathematics Subject Classification ID

Related Items (2)

Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points ⋮ Minimal measures for Euler–Lagrange flows on finite covering spaces

Cites Work

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• Action minimizing invariant measures for positive definite Lagrangian systems
• Geodesic flows
• Variational construction of connecting orbits
• Lagrangian systems on hyperbolic manifolds
• Riemannian geometry and geometric analysis

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