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QUASICONVEXITY OF BANDS IN HYPERBOLIC 3-MANIFOLDS
Published online by Cambridge University Press: 01 April 2014
Abstract
Let $M$ be a complete hyperbolic 3-manifold homotopy equivalent to a compact surface $\Sigma $. Let $\Phi $ be a proper subsurface of $\Sigma $, whose boundary is sufficiently short in $M$. We show that the union of all Margulis tubes and cusps homotopic into $\Phi $ lifts to a uniformly quasiconvex subset of hyperbolic 3-space.
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.