On the geometric and topological rigidity
of hyperbolic 3-manifolds
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- F. T. Farrell and L. Jones, A Topological analogue of Mostow's Rigidity Theorem, J. Amer. Math. Soc. 2 (1989), 257-370. MR 90h:57023a
- D. Gabai, Foliations and the Topology of 3-manifolds, J. Diff. Geom. 18 (1983), 445-503. MR 86a:57009
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- M. Gromov, Hyperbolic Manifolds According to Thurston and Jorgensen, Sem. Bourbaki 32 (1979), 40-52. MR 84b:53046
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- G. D. Mostow, Quasiconformal Mappings in n-Space and the Rigidity of Hyperbolic Space Forms, Pub. IHES 34 (1968), 53-104. MR 38:4679
- C. B. Morrey, The Problem of Plateau in a Riemannian Manifold, Ann. Math (2) 49 (1948), 807-851. MR 10:259f
- J. R. Munkres, Obstructions to Smoothing Piecewise Differentiable Homeomorphisms, Ann. Math (2) 72 (1960), 521-554. MR 22:12534
- M. H. A. Neumann, Quart. J. Math. 2 (1931), 1-8.
- R. Schoen, Estimates for Stable Minimal Surfaces in Three Dimensional Manifolds, Ann. of Math. Stud. 103 (1983), 111-126. MR 86j:53094
- William P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357-381. MR 83h:57019
- F. Waldhausen, On Irreducible 3-manifolds which are Sufficiently Large, Annals of Math. 87 (1968), 56-88. MR 36:7146
- J. Weeks, SnapPea, undistributed version.
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Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Received by editor(s): October 1, 1993
Received by editor(s) in revised form: September 1, 1995
Additional Notes: Partially supported by NSF Grants DMS-8902343, DMS-9200584, DMS-9505253 and SERC grant GR/H60851.
Article copyright: © Copyright 1997 American Mathematical Society