Geodesic flow, connecting orbits and almost full foliation

DOI10.1007/s11425-006-1831-9zbMath1116.53060OpenAlexW1571936154MaRDI QIDQ870718

Jian Cheng, Long Meng

Publication date: 14 March 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-1831-9

zbMATH Keywords

geodesic flowsrotation numbersconnecting orbitsminimal configurations

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Geodesic flows in symplectic geometry and contact geometry (53D25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Variational approach to homoclinic orbits in twist maps and an application to billiard systems
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Curvature Bounds for the Entropy of the Geodesic Flow on a Surface
• Variational Construction of Orbits of Twist Diffeomorphisms