Minimal geodesics and topological entropy on T^2

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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.
12 pages

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Dynamical Systems, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/132970

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.0673
 http://arxiv.org/abs/0707.0673

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arXiv