3 papers
math.DS2021
A connecting theorem for geodesic flows on the 2-torus
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 uni…
math.DG2021
A Finsler Geodesic Flow on With Positive Metric Entropy
Stefan Klempnauer
We use a theorem of P. Berger and D. Turaev to construct an example of a Finsler geodesic flow on the 2-torus with a transverse section, such that its Poincaré return map has posit…
math.DS2015
The stable norm on the 2-torus at irrational directions
Stefan Klempnauer, Jan Philipp Schröder
We study the structure of the stable norm of Finsler metrics on the 2-torus with a focus to points of irrational slope. By our results, the stable norm detects KAM-tori and hyperbo…