Geometry & Topology

Convergence properties of end invariants

Jeffrey F Brock, Kenneth W Bromberg, Richard D Canary, and Yair N Minsky

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We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance from geodesics joining the projections of the ending invariants.

Article information

Geom. Topol., Volume 17, Number 5 (2013), 2877-2922.

Received: 23 August 2012
Revised: 16 January 2013
Accepted: 19 March 2013
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 30F40: Kleinian groups [See also 20H10] 57M50: Geometric structures on low-dimensional manifolds

Kleinian group hyperbolic 3–manifold end invariant ending lamination


Brock, Jeffrey F; Bromberg, Kenneth W; Canary, Richard D; Minsky, Yair N. Convergence properties of end invariants. Geom. Topol. 17 (2013), no. 5, 2877--2922. doi:10.2140/gt.2013.17.2877.

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