Quasiconvexity of Bands in Hyperbolic 3-manifolds
نویسنده
چکیده
Let M by a complete hyperbolic 3-manifold homotopy equivalent to a compact surface Σ. Let Φ be a proper subsurface of Σ, whose boundary is sufficiently short in M . We show that the union of all Margulis tubes and cusps homotopic into Φ lifts to a uniformly quasiconvex subset of hyperbolic 3-space. 2010 Mathematics Subject Classification: 57M50
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تاریخ انتشار 2011