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arXiv · 0707.0673

Minimal geodesics and topological entropy on T^2

Eva Leschinsky
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Abstract

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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Eva Leschinsky. 2007-07-04. Minimal geodesics and topological entropy on T^2. https://arxiv.org/abs/0707.0673

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