Foundations of Hyperbolic Manifolds

• Main Author: Ratcliffe, John G. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 3rd ed. 2019.
• Series: Graduate Texts in Mathematics, 149
• Subjects: Geometry.; Topology.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.

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. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic group...

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.