A Note on Surfaces Bounding Hyperbolic 3-Manifolds

被引：0
|
作者：
Bruno Zimmermann
机构：
[1] Università degli Studi di Trieste,
来源：
Monatshefte für Mathematik | 2004年 / 142卷
关键词：
2000 Mathematics Subject Classification: 57M50; Key words: Hyperbolic surface, hyperbolic 3-manifold with totally geodesic boundary, icosahedron, small stellated dodecahedron;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the problem of whether a given hyperbolic surface occurs as the totally geodesic boundary of a compact hyperbolic 3-manifold (as some or as the only boundary component). We discuss some explicit examples of hyperbolic surfaces, in particular the surface associated to the small stellated dodecahedron (one of the four Kepler-Poinsot polyhedra) which is the boundary of a hyperbolic icosahedral 3-manifold.
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页码：267 / 273
页数：6
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