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Geometry of Spaces of Constant Curvature by Alekseevskij D.V., Vinberg E.B., Solodovnikov A.S. is a nonfiction available to read on EtoBox.
What is Geometry of Spaces of Constant Curvature about?
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.
Who reads Geometry of Spaces of Constant Curvature?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Alekseevskij D.V., Vinberg E.B., Solodovnikov A.S.
- Publisher
- Springer Spektrum. in Springer-Verlag GmbH
- Published
- 1993
- Language
- EN
- ISBN
- 9783540637059
- Category
- nonfiction
- Subjects
- Mathematics, Stem
Other editions & translations
- Algebraic geometry 01 Algebraic curves, algebraic manifolds and schemes 1 (2009)
- Algebraic Geometry I Complex Projective Varieties (Series of Comprehensive Studies in Mathematics 221) (1976)
- Algebraic Geometry I: Complex Projective Varieties (Grundlehren der mathematischen Wissenschaften) (1976)
- Geometry of Spaces of Constant Curvature (1988)
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