Foundations of Hyperbolic Manifolds

Foundations of Hyperbolic Manifolds by John Ratcliffe.

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...

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Bibliographic Details
Main Author: Ratcliffe, John (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2006.
Edition:2nd ed. 2006.
Series:Graduate Texts in Mathematics, 149
Springer eBook Collection.
Subjects:
Geometry.
Topology.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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