• Corpus ID: 231740989

A connecting theorem for geodesic flows on the 2-torus

  title={A connecting theorem for geodesic flows on the 2-torus},
  author={Stefan Klempnauer},
We use a result of J. Mather on the existence of connecting orbits for compositions of monotone twist maps of the cylinder to prove the existence of connecting geodesics on the unit tangent bundle ST 2 of the 2-torus in regions without invariant tori. The author thanks the SFB CRC/TRR 191 Symplectic Structures in Geometry, Algebra and Dynamics of the DFG and the Ruhr-University Bochum for the funding of his research. 


Tonelli Lagrangians on the 2-torus : global minimizers , invariant tori and topological entropy
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  • Scientific Publishing,
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