The Weil-Petersson geodesic flow is ergodic

• 成果类型: Article
• 署名作者: Burns, K.; Masur, H.; Wilkinson, A.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.2.8
• 发表日期: 2012
• 页码: 835-908
• 关键词: extension; dimension; SURFACES; SPACE

摘要

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.