Dynamical Properties of the Weil-petersson Metric
نویسنده
چکیده
Let T (S) be the Teichmüller space of an oriented surface S of finite type. We discuss the action of subgroups of the mapping class group of S on the CAT(0)-boundary of the completion of T (S) with respect to the Weil-Petersson metric. We show that the set of invariant Borel probability measures for the Weil-Petersson flow on moduli space which are supported on a closed orbit is dense in the space of all ergodic invariant probability measures.
منابع مشابه
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