An entropic characterization of the flat metrics on the two torus
classification
🧮 math.DS
keywords
torusflatgeodesicmetriccharacterisescharacterizationentropicentropy
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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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