منابع مشابه
Train tracks and surface groups acting on hyperbolic spaces
Let Σ be a compact surface, and letM be a path metric space with π1(M) ∼= π1(Σ) and with the universal cover M̃ Gromov hyperbolic. We show that, under certain assumptions, the shortest realisation in M of a multicurve Σ can be approximated by a train track in M . In the case where M is a hyperbolic 3-manifold, this is well known (see for example [Bon]). The main result is stated as Theorem 0.1 h...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2017
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2017.103