A generalization of the Epstein-Penner construction to projective manifolds
HTML articles powered by AMS MathViewer
- by D. Cooper and D. D. Long PDF
- Proc. Amer. Math. Soc. 143 (2015), 4561-4569 Request permission
Abstract:
We extend the canonical cell decomposition due to Epstein and Penner of a hyperbolic manifold with cusps to the strictly convex setting.References
- R. D. Canary, D. B. A. Epstein, and P. Green, Notes on notes of Thurston, Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984) London Math. Soc. Lecture Note Ser., vol. 111, Cambridge Univ. Press, Cambridge, 1987, pp. 3–92. MR 903850
- D. Cooper, D. D. Long and S. Tillmann, On convex projective manifolds and cusps, To appear Advances in Mathematics.
- D. Cooper, D. D. Long and S. Tillmann, Deforming finite volume properly convex real projective manifolds, Preprint.
- D. B. A. Epstein and R. C. Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988), no. 1, 67–80. MR 918457
- Akira Ushijima, A canonical cellular decomposition of the Teichmüller space of compact surfaces with boundary, Comm. Math. Phys. 201 (1999), no. 2, 305–326. MR 1682230, DOI 10.1007/s002200050557
- È. B. Vinberg, The theory of homogeneous convex cones, Trudy Moskov. Mat. Obšč. 12 (1963), 303–358 (Russian). MR 0158414
Additional Information
- D. Cooper
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 239760
- Email: cooper@math.ucsb.edu
- D. D. Long
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 201087
- Email: long@math.ucsb.edu
- 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
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4561-4569
- MSC (2010): Primary 57M05
- DOI: https://doi.org/10.1090/S0002-9939-2015-12579-8
- MathSciNet review: 3373953