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Geometry II : Spaces of Constant Curvature - D.V. Alekseevskij

Geometry II

Spaces of Constant Curvature

Hardcover

Published: 25th June 1993
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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.

Geometry of Spaces of Constant Curvature
Discrete Groups of Motions of Spaces of Constant Curvature
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540520009
ISBN-10: 3540520007
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 256
Published: 25th June 1993
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.96
Weight (kg): 0.56