The noncompact hyperbolic 3-manifold of minimal volume-Reference-Cited by-同舟云学术

The noncompact hyperbolic 3-manifold of minimal volume

Published:1987 Issue:4 Volume:100 Page:601-606
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Adams Colin C.

Abstract

We utilize maximal cusp volumes in order to prove that the Gieseking manifold is the unique complete noncompact hyperbolic 3 3 -manifold of minimal hyperbolic volume.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-100-04/S0002-9939-1987-0894423-8/S0002-9939-1987-0894423-8.pdf

Reference10 articles.

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. Graduate Texts in Mathematics;Beardon, Alan F.,1983

4. Packing of spheres in spaces of constant curvature;Böröczky, K.;Acta Math. Acad. Sci. Hungar.,1978

5. H. Gieseking, Analytische Untersuchungen über Topologische Gruppen, Thesis, Muenster, 1912.

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