Foundations of Hyperbolic Manifolds

• Main Author: Ratcliffe, John G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: Second Edition.
• Series: Graduate Texts in Mathematics, 149
• Subjects: Mathematics.; Algebraic geometry.; Geometry.; Topology.; Algebraic Geometry.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterizatio...

Table of Contents:

• Euclidean Geometry
• Spherical Geometry
• Hyperbolic Geometry
• Inversive Geometry
• Isometries of Hyperbolic Space
• Geometry of Discrete Groups
• Classical Discrete Groups
• Geometric Manifolds
• Geometric Surfaces
• Hyperbolic 3-Manifolds
• Hyperbolic n-Manifolds
• Geometrically Finite n-Manifolds
• Geometric Orbifolds.