## Duke Mathematical Journal

### The conformal boundary and the boundary of the convex core

R. D. Canary

#### Abstract

In this note we investigate the relationship between the conformal boundary at infinity of a hyperbolic 3-manifold and the boundary of its convex core. In particular, we prove that the length of a curve in the conformal boundary gives an upper bound on the length of the corresponding curve in the boundary of the convex core.

#### Article information

Source
Duke Math. J. Volume 106, Number 1 (2001), 193-207.

Dates
First available in Project Euclid: 13 August 2004

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1092403892

Digital Object Identifier
doi:10.1215/S0012-7094-01-10616-9

Mathematical Reviews number (MathSciNet)
MR1810370

Zentralblatt MATH identifier
1012.57021

#### Citation

Canary, R. D. The conformal boundary and the boundary of the convex core. Duke Math. J. 106 (2001), no. 1, 193--207. doi:10.1215/S0012-7094-01-10616-9. http://projecteuclid.org/euclid.dmj/1092403892.

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