✦ LIBER ✦

Geometry of Spaces of Constant Curvature

✍ Scribed by Alekseevskij D.V., Vinberg E.B., Solodovnikov A.S.

Book ID: 127433646
Year: 1993
Tongue: English
Weight: 2 MB
Category: Library
ISBN-13: 9783540519959

No coin nor oath required. For personal study only.

✦ Synopsis

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 goemetry 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.

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