Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)

Description

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.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2412
2. Separation of Variables for Riemannian Spaces of Constant Curvature: E.G. Kalnins
3. Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
4. Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
5. Geometry VI: Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
6. Projective Duality and Homogeneous Spaces (Encyclopaedia of Mathematical Sciences)
7. Projective Duality and Homogeneous Spaces (Encyclopaedia of Mathematical Sciences)
8. General Topology III: Paracompactness, Function Spaces, Descriptive Theory (Encyclopaedia of Mathematical Sciences)
9. General Topology III: Paracompactness, Function Spaces, Descriptive Theory (Encyclopaedia of Mathematical Sciences)
10. Geometry III: Theory of Surfaces (Encyclopaedia of Mathematical Sciences)
11. Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences)
12. Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences) (Repost)
13. Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences) (Repost)
14. Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)
15. Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)
16. General Topology II: Compactness, Homologies of General Spaces (Encyclopaedia of Mathematical Sciences)