Geometry : Volume 2: Spaces of Constant Curvature ( Encyclopaedia of Mathematical Sciences ) 几何 第2卷
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作者： D.V. Alekseevskij著
出 版 社： 新世纪出版社
出版时间： 1993-6-1字数：版次： 1页数： 254印刷时间： 1993/06/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9783540520009包装： 精装内容简介
This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian geometry and group theory. The result is a book which has no rival in the literature. Part I contains the classification of motions in spaces of constant curvature and non-traditional topics like the theory of acute-angled polyhedra and methods for computing volumes of non-Euclidean polyhedra. Part II includes the theory of cristallographic, Fuchsian, and Kleinian groups and an exposition of Thurston's theory of deformations. The greater part of the book is accessible to first-year students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field.
目录
I.Geometry of Spaces of Constant CurvatureVinberg.
II.Discrete Groups of Motions of Spaces of Constant Curvature
Author Index
Subject Index
