The Weil-Petersson geodesic flow is ergodic

• Autores: Keith Burns, Howard Masur
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 175, Nº 2, 2012, págs. 835-908
• Idioma: inglés
• DOI: 10.4007/annals.2012.175.2.8
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• Resumen

  • We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (and in fact Bernoulli) and has finite, positive metric entropy.