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arXiv · 1311.7609

Laminations géodésiques plates mesurées

Thomas Morzadec
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Abstract

In [Mor], we have introduced a notion of flat laminations on surfaces endowed with a flat structure, similar to geodesic laminations on hyperbolic surfaces. Here is a sequel to this article that aims at defining transversal measures on flat laminations similar to transversal measures on hyperbolic laminations, taking into account that two different leaves of a flat lamination may no longer disjoint. Then, we define a topology on the set of measured flat laminations and show that its projective space is compact. Finally, we define the dual tree to a measured flat lamination.

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Thomas Morzadec. 2013-11-29. Laminations géodésiques plates mesurées. https://arxiv.org/abs/1311.7609

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