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A generalization of the Epstein-Penner construction to projective manifolds


Authors: D. Cooper and D. D. Long
Journal: Proc. Amer. Math. Soc. 143 (2015), 4561-4569
MSC (2010): Primary 57M05
DOI: https://doi.org/10.1090/S0002-9939-2015-12579-8
Published electronically: April 1, 2015
MathSciNet review: 3373953
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Abstract | References | Similar Articles | Additional Information

Abstract: We extend the canonical cell decomposition due to Epstein and Penner of a hyperbolic manifold with cusps to the strictly convex setting.


References [Enhancements On Off] (What's this?)

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  • [2] D. Cooper, D. D. Long and S. Tillmann, On convex projective manifolds and cusps, To appear Advances in Mathematics.
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  • [6] È. B. Vinberg, The theory of homogeneous convex cones, Trudy Moskov. Mat. Obšč. 12 (1963), 303–358 (Russian). MR 0158414

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Additional Information

D. Cooper
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: cooper@math.ucsb.edu

D. D. Long
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: long@math.ucsb.edu

DOI: https://doi.org/10.1090/S0002-9939-2015-12579-8
Received by editor(s): July 18, 2013
Received by editor(s) in revised form: April 10, 2014, May 28, 2014, and June 24, 2014
Published electronically: April 1, 2015
Additional Notes: The first author was partially supported by NSF grants 1065939, 1045292, 1207068
The second author was partially supported by NSF grants.
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2015 American Mathematical Society