An upper bound for injectivity radii in convex cores

作者：Bowditch Brian H^*

来源：Groups, Geometry, and Dynamics, 2013, 7(1): 109-126.

DOI：10.4171/GGD/178

• Hyperbolic 3-manifold
• convex core
• injectivity radius

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.

• 出版日期2013