Homotopy hyperbolic $3$-manifolds are virtually hyperbolic
HTML articles powered by AMS MathViewer
- by David Gabai
- J. Amer. Math. Soc. 7 (1994), 193-198
- DOI: https://doi.org/10.1090/S0894-0347-1994-1205445-3
- PDF | Request permission
References
- Israel Berstein and Allan L. Edmonds, On the construction of branched coverings of low-dimensional manifolds, Trans. Amer. Math. Soc. 247 (1979), 87–124. MR 517687, DOI 10.1090/S0002-9947-1979-0517687-9
- M. J. Dunwoody, An equivariant sphere theorem, Bull. London Math. Soc. 17 (1985), no. 5, 437–448. MR 806009, DOI 10.1112/blms/17.5.437
- David Gabai, Foliations and the topology of $3$-manifolds, J. Differential Geom. 18 (1983), no. 3, 445–503. MR 723813
- John Hempel, $3$-Manifolds, Annals of Mathematics Studies, No. 86, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1976. MR 0415619
- Hellmuth Kneser, Die kleinste Bedeckungszahl innerhalb einer Klasse von Flächenabbildungen, Math. Ann. 103 (1930), no. 1, 347–358 (German). MR 1512626, DOI 10.1007/BF01455699
- D. D. Long, Immersions and embeddings of totally geodesic surfaces, Bull. London Math. Soc. 19 (1987), no. 5, 481–484. MR 898729, DOI 10.1112/blms/19.5.481
- A. Malcev, On isomorphic matrix representations of infinite groups, Rec. Math. [Mat. Sbornik] N.S. 8 (50) (1940), 405–422 (Russian, with English summary). MR 0003420
- G. D. Mostow, Quasi-conformal mappings in $n$-space and the rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 53–104. MR 236383
- William Meeks III, Leon Simon, and Shing Tung Yau, Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature, Ann. of Math. (2) 116 (1982), no. 3, 621–659. MR 678484, DOI 10.2307/2007026
- Friedhelm Waldhausen, On irreducible $3$-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56–88. MR 224099, DOI 10.2307/1970594
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: J. Amer. Math. Soc. 7 (1994), 193-198
- MSC: Primary 57M50; Secondary 57M10
- DOI: https://doi.org/10.1090/S0894-0347-1994-1205445-3
- MathSciNet review: 1205445