Geometry II

Spaces of Constant Curvature

E.B. Vinberg, V. Minachin, D.V. Alekseevskij , O.V. Shvartsman

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Russian

Springer Verlag
01 June 1993

Mathematics & Sciences; Groups & group theory; Geometry; Topology

Series: Encyclopaedia of Mathematical Sciences

Summary
Details

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.

Contributions by: D.V. Alekseevskij, O.V. Shvartsman, A.S. Solodovnikov
Edited by: E.B. Vinberg
Translated by: V. Minachin
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v.29
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 560g
ISBN: 9783540520009
ISBN 10: 3540520007
Series: Encyclopaedia of Mathematical Sciences
Pages: 272
Publication Date: 01 June 1993
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active