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arXiv · 0901.4301

Dynamical properties of the Weil-Petersson metric

Ursula Hamenstadt
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Abstract

Let S be a non-exceptional oriented surface 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 Teichmueller space 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 closed orbits is dense in the space of invariant Borel probability measures.

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Ursula Hamenstadt. 2009-01-27. Dynamical properties of the Weil-Petersson metric. https://arxiv.org/abs/0901.4301

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