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Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives

Bromberg, K. (2004) Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives. Journal of the American Mathematical Society, 17 (4). pp. 783-826. ISSN 0894-0347. http://resolver.caltech.edu/CaltechAUTHORS:20110916-095139469

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Abstract

Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short, we construct a one-parameter family of cone-manifolds decreasing the cone-angle to zero. We also control the geometry of this one-parameter family via the Schwarzian derivative of the projective boundary and the length of closed geodesics.


Item Type:Article
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http://dx.doi.org/10.1090/S0894-0347-04-00462-XDOIUNSPECIFIED
http://www.ams.org/journals/jams/2004-17-04/S0894-0347-04-00462-X/home.htmlPublisherUNSPECIFIED
Additional Information:© 2004 American Mathematical Society. Received by the editors December 10, 2002. Posted: July 21, 2004. Supported by a grant from the NSF.
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Subject Keywords:Kleinian groups, cone-manifolds, Schwarzian derivative. Supported by a grant from the NSF.
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MathSciNet review: 2083468
Classification Code:2000 Mathematics Subject Classi�cation. Primary 30F40, 57M50.
Record Number:CaltechAUTHORS:20110916-095139469
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110916-095139469
Official Citation:Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives K. Bromberg J. Amer. Math. Soc. 17 (2004), 783-826.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:25351
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Sep 2011 17:49
Last Modified:26 Dec 2012 13:41

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