Vol. 218, No. 2, 2005

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Bounding the bending of a hyperbolic 3-manifold

Martin Bridgeman and Richard D. Canary

Vol. 218 (2005), No. 2, 299–314
Abstract

We obtain bounds on the total bending of the boundary of the convex core of a hyperbolic 3-manifold. These bounds will depend on the geometry of the boundary of the convex hull of the limit set.

Keywords
hyperbolic 3-manifold, convex core, bending lamination
Mathematical Subject Classification 2000
Primary: 57M50
Milestones
Received: 3 January 2003
Revised: 7 June 2003
Published: 1 February 2005
Authors
Martin Bridgeman
Department of Mathematics
Boston College
Chestnut Hill, MA 02167
http://www2.bc.edu/~bridgem/
Richard D. Canary
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1109
http://www.math.lsa.umich.edu/~canary/