From the Boundary of the Convex Core to the Conformal Boundary

Geometriae Dedicata

Volumn 96, Issue 1, 2003, Pages 211-240

  Bridgeman, Martin ^a   Canary, Richard D ^b  

^a BOSTON COLLEGE   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Convex core; Hyperbolic manifold; Kleinian group; Limit set

Indexed keywords

EID: 0037279745     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022102007948     Document Type: Article

References (14)

1. Ahlfors, L. V.: Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-429.
2. Bonahon, F.: Bouts des variétés hyperboliques de dimension 3, Ann. of Math. 124 (1986), 71-158.
3. Bonahon, F.: The geometry of Teichmüller space via geodesic currents, Invent. Math. 92 (1988), 139-162.
4. Bridgeman, M.: Average bending of convex pleated planes in hyperbolic three-space, Invent. Math. 132 (1998), 381-391.
5. Buser, P.: Geometry and Spectra of Compact Riemann Surfaces, Birkhäuser, Basel, 1992.
6. Canary, R. D.: The conformal boundary and the boundary of the convex core, Duke Math. J. 106 (2001), 193-207.
7. Epstein, D. B. A. and Marden, A.: Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, In: Analytical and Geometrical Aspects of Hyperbolic Space, Cambridge Univ. Press, 1987, pp. 113-253.
8. Epstein, D. B. A., Marden, A. and Markovic, V.: Quasiconformal homeomorphisms and the convex hull boundary, Preprint.
9. Epstein, D. B. A., Marden, A. and Markovic, V.: Complex angle scaling, Preprint.
10. Epstein, D. B. A. and Markovic, V.: The logarithmic spiral: a counterexample to the K = 2 conjecture, Preprint.
11. McMullen, C. T.: Complex earthquakes and Teichmüller theory, J. Amer. Math. Soc. 11 (1998), 283-320.
12. Sigmund, K.: On dynamical systems with the specification property, Trans. Amer. Math. Soc. 190 (1974), 285-299.
13. Thurston, W. P.: The geometry and topology of 3-manifolds, Lecture Notes, Princeton University, 1979.
14. Thurston, W. P.: Minimal stretch maps between hyperbolic surfaces, Preprint, available at: http://front.math.ucdavis.edu/math.GT/9801058.