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arXiv · 1406.0794

An entropic characterization of the flat metrics on the two torus

Patrick Bernard·Clémence Labrousse
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Abstract

The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among all geodesic flows on this torus. We prove here that this properties characterises the flat metric on the two torus.

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Patrick Bernard, Clémence Labrousse. 2014-06-03. An entropic characterization of the flat metrics on the two torus. https://arxiv.org/abs/1406.0794

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