arXiv:0707.0673 Abstract | arXiv Analytics

arXiv:0707.0673 [math.DS]Abstract References Reviews Resources

Minimal geodesics and topological entropy on T^2

Published 2007-07-04Version 1

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.

Comments: 12 pages

Categories: math.DS, math.DG

Keywords: topological entropy, two-dimensional riemannian torus, minimal geodesics vanishes, riemannian metric, initial conditions

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