Average bending of convex pleated planes in hyperbolic three-space

Inventiones Mathematicae

Volumn 132, Issue 2, 1998, Pages 381-391

  Bridgeman, Martin ^a  

^a LOYOLA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039413538     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050227     Document Type: Article

References (11)

1. 2. To appear Proceedings of the A.M.S.
2. F. Bonahon: Bouts des variétés hyperboliques de dimension 3. Annals of Math. 124, 71-158 (1986)
3. F. Bonahon: The geometry of Teichmüller space via geodesic currents. Inventiones mathematicae 92, 139-162 (1988)
4. I.P. Cornfeld, S.V. Fomin, Ya. G. Sinai: Ergodic Theory. Grundlehren der matematischen Wissenschaften 245 Springer-Verlag, 1982
5. D.B.A. Epstein, A. Marden: Convex hulls in hyperbolic space, a theorem of Dennis Sullivan, and measured pleated surfaces. Analytical and Geometric Aspects of Hyperbolic Space, Cambridge University Press, 1987
6. D. Gabai: On the Geometric and topological rigidity of hyperbolic 3-manifolds. Bulletin of the A.M.S., vol. 31, no. 2, Oct. 1994
7. E. Hopf: Statistik der geodätischen linien in mannigfaltigkeiten negativer Krummung. Ber. Verh. Sachs. Akad. Wiss. Leipzig 91, pp 261-304, (1939)
8. C.T. McMullen: Complex earthquakes and Teichmüller theory. Preprint 1996
9. W.P. Thurston: Geometry and Topology of Three-Manifolds. Princeton Lecture Notes, 1979
10. W.P. Thurston: Minimal stretch maps between hyperbolic surfaces. Preprint
11. S. Wolpert: Thurston's Riemannian metric for Teichmüller space. Journal of Differential Geometry 23, 143-174 (1986)