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Quasiconvexity of bands in hyperbolic 3-manifolds
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Bowditch, B. H. (2014) Quasiconvexity of bands in hyperbolic 3-manifolds. Journal of the Australian Mathematical Society, 96 (2). pp. 167-185. doi:10.1017/S1446788713000566
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Official URL: http://dx.doi.org/10.1017/S1446788713000566
Abstract
Let M be 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.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Hyperbolic spaces, Three-manifolds (Topology), Convexity spaces | ||||||
| Journal or Publication Title: | Journal of the Australian Mathematical Society | ||||||
| Publisher: | Cambridge University Press | ||||||
| ISSN: | 1446-7887 | ||||||
| Official Date: | April 2014 | ||||||
| Dates: |
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| Volume: | 96 | ||||||
| Number: | 2 | ||||||
| Number of Pages: | 19 | ||||||
| Page Range: | pp. 167-185 | ||||||
| DOI: | 10.1017/S1446788713000566 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access |
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