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arxiv: 0707.0673 · v1 · submitted 2007-07-04 · 🧮 math.DS · math.DG

Minimal geodesics and topological entropy on T²

classification 🧮 math.DS math.DG
keywords entropygeodesicsminimalriemanniantopologicalchoiceconditionsflow
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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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