Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds
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- by Corina Ciobotaru and Sergiu Moroianu PDF
- Proc. Amer. Math. Soc. 144 (2016), 151-159 Request permission
Abstract:
We prove that the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds is non-negative, with equality only for Fuchsian manifolds.References
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Additional Information
- Corina Ciobotaru
- Affiliation: Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, CP 64, 1211 Genève 4, Switzerland
- Email: corina.ciobotaru@unige.ch
- Sergiu Moroianu
- Affiliation: Institutul de Matematică al Academiei Române, P.O. Box 1-764, RO-014700 Bucharest, Romania
- Email: moroianu@alum.mit.edu
- Received by editor(s): September 22, 2014
- Received by editor(s) in revised form: November 25, 2014
- Published electronically: June 9, 2015
- Additional Notes: The first author was supported by the FRIA
The second author was partially supported by the CNCS project PN-II-RU-TE-2011-3-0053 - Communicated by: Michael Wolf
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 151-159
- MSC (2010): Primary 30F60
- DOI: https://doi.org/10.1090/proc/12682
- MathSciNet review: 3415585