Minimal geodesics and topological entropy on T^2

Details Minimal geodesics and topological entropy on T^2 Minimal geodesics and topological entropy on T^2

2007-07-04

arxiv.org/abs/0707.0673v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

Let (T^2, g) be a two-dimensional Riemannian torus. In this paper we prove
that the topological entropy of the geodesic flow restricted to the set of
initial conditions of minimal geodesics vanishes, independent of the choice of
the Riemannian metric.

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