The smallest Haken hyperbolic polyhedra-Reference-Cited by-同舟云学术

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The smallest Haken hyperbolic polyhedra

Published:2012-09-05 Issue:4 Volume:141 Page:1393-1404
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Atkinson Christopher,Rafalski Shawn

Abstract

We determine the lowest volume hyperbolic Coxeter polyhedron whose corresponding hyperbolic polyhedral 3 3 –orbifold contains an essential 2 2 –suborbifold, up to a canonical decomposition along essential hyperbolic triangle 2 2 –suborbifolds.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-04/S0002-9939-2012-11665-X/S0002-9939-2012-11665-X.pdf

Reference22 articles.

1. Totally geodesic Seifert surfaces in hyperbolic knot and link complements. I;Adams, Colin;Geom. Dedicata,2005

2. Lower bounds on volumes of hyperbolic Haken 3-manifolds;Agol, Ian;J. Amer. Math. Soc.,2007

3. Convex polyhedra in Lobačevskiĭ spaces;Andreev, E. M.;Mat. Sb. (N.S.),1970

4. Convex polyhedra of finite volume in Lobačevskiĭ space;Andreev, E. M.;Mat. Sb. (N.S.),1970

5. Volume estimates for equiangular hyperbolic Coxeter polyhedra;Atkinson, Christopher K.;Algebr. Geom. Topol.,2009

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Guts and volume for hyperbolic 3-orbifolds with underlying space S3;Topology and its Applications;2018-07

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