Geodesic
An upper bound for injectivity radii in convex cores
Brian H. Bowditch1
1University of Warwick, Coventry, United Kingdom
Groups, geometry, and dynamics, Tome 7 (2013) no. 1, pp. 109-126

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DOI

Let N be a complete hyperbolic 3-manifold with finitely generated fundamental group, and let H be its convex core. We show that there is an upper bound on the radius of an embedded hyperbolic ball in H , which depends only on the topology of N . As a consequence, we deduce that limit sets of strongly convergent kleinian groups converge.
DOI : 10.4171/ggd/178
Classification : 57-XX, 00-XX
Mots-clés : Hyperbolic 3-manifold, convex core, injectivity radius

Brian H. Bowditch  1

1 University of Warwick, Coventry, United Kingdom 
Brian H. Bowditch. An upper bound for injectivity radii in convex cores. Groups, geometry, and dynamics, Tome 7 (2013) no. 1, pp. 109-126. doi: 10.4171/ggd/178
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     title = {An upper bound for injectivity radii in convex cores},
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     pages = {109--126},
     year = {2013},
     volume = {7},
     number = {1},
     doi = {10.4171/ggd/178},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/178/}
}
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