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. doi:10.1090/S0894-0347-04-00462-X. https://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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| 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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| Issue or Number: | 4 | |||||||||
| Classification Code: | 2000 Mathematics Subject Classi�cation. Primary 30F40, 57M50. | |||||||||
| DOI: | 10.1090/S0894-0347-04-00462-X | |||||||||
| Record Number: | CaltechAUTHORS:20110916-095139469 | |||||||||
| Persistent URL: | https://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: | 09 Nov 2021 16:32 |
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