Geometry of Discrete Groups
Geometry of Discrete Groups
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DOI：
10.1007/978-1-4757-4013-4_6
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
J. Ratcliffe
中科院分区：
文献类型：
--
作者：
J. Ratcliffe
在本章中，我们研究Sn，En和Hn的等距离散群的几何。本章首先介绍双曲n-空间的投影圆盘模型。Sn、En和Hn中的凸集和凸多面体在§ 6.2到§ 6.5节中进行了研究。离散群的基本域的基本性质在§ 6.6和§ 6.7节中考察。本章最后研究了Sn，En和Hn的镶嵌的基本性质。
In this chapter, we study the geometry of discrete groups of isometries of Sn, En, and Hn. The chapter begins with an introduction to the projective disk model of hyperbolic n-space. Convex sets and convex polyhedra in Sn, En, and Hn are studied in Sections § 6.2 through § 6.5. The basic properties of fundamental domains for a discrete group are examined in Sections § 6.6 and § 6.7. The chapter ends with a study of the basic properties of tessellations of Sn, En, and Hn.