The noncompact hyperbolic 3-manifold of minimal volume

Proceedings of the American Mathematical Society

Volumn 100, Issue 4, 1987, Pages 601-606

  Adams, Colin C ^a  

^a WILLIAMS COLLEGE   (United States)

Author keywords

Gieseking manifold; Hyperbolic 3 manifold; Hyperbolic volume

Indexed keywords

EID: 84968521875     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1987-0894423-8     Document Type: Article

References (10)

1. C. Adams, Volumes of N-cusp hyperbolic 3-manifolds, preprint.
2. C. Adams, M. Hildebrand and J. Weeks, Hyperbolic invariants of knot and link complements (in preparation).
3. A. Beardon, The geometry of discrete groups, Springer-Verlag, Berlin and New York, 1983.
4. K. Boroczky, Packing of spheres in spaces of constant curvature, Acta Math. Acad. Sei. Hungar. 32 (1978), 243-326.
5. H. Gieseking, Analytische Untersuchungen über Topologische Gruppen, Thesis, Muenster, 1912.
6. R. Meyerhoff, Sphere packing and volume in hyperbolic 3-space, Comment. Math Helv. 61 (1986), 271-278.
7. R. Meyerhoff, The cusped hyperbolic 3-orbifold of minimum volume, Bull. Amer. Math. Soc. (N.S.) 13 (1985), 154-156.
8. R. Meyerhoff, A lower bound for the volume of hyperbolic 3-manifolds, Canad J. Math, (to appear).
9. J. Milnor, Hyperbolic geometry: the first 150 years, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 9-23.
10. W. Thurston, The geometry and topology of 3-manifolds, class notes, Princeton University, 1978.