Ends of unimodular random manifolds

Ian Biringer; Jean Raimbault

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arXiv · 1411.0561

Ends of unimodular random manifolds

Ian Biringer·Jean Raimbault

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Abstract

We study the ends of a generic manifold, with respect to a unimodular measure on the space of pointed Riemannian manifolds with bounded curvatures. We apply our general result to the case of surfaces and obtain as corollaries a very precise description of generic leaves for foliations with invariant measures and of quotients of the hyperbolic plane by invariant random subgroups of the isometry group.

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BibTeX RIS

Ian Biringer, Jean Raimbault. 2014-11-03. Ends of unimodular random manifolds. https://arxiv.org/abs/1411.0561

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