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math.DS2011★ 3 cited
Minimal geodesic foliation on T^2 in case of vanishing topological entropy
Eva Glasmachers, Gerhard Knieper
On a Riemannian 2-torus we study the geodesic flow in the case of low complexity described by zero topological entropy. We show that this assumption implies a nearly inte…
math.DS2007
Characterization of geodesic flows on T^2 with and without positive topological entropy
Eva Glasmachers, Gerhard Knieper
In the present work we consider the behavior of the geodesic flow on the unit tangent bundle of the 2-torus for an arbitrary Riemannian metric. A natural non-negative quantit…