Hyperbolic Geometry from a Local Viewpoint

by Nikola Lakic and Linda Keen

Book Overview

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts...

• Format: Paperback
• Language: English
• ISBN: 052168224X
• ISBN13: 9780521682244
• Release Date: April 2007
• Publisher: Cambridge University Press
• Length: 282 Pages
• Weight: 0.87 lbs.
• Dimensions: 0.6" x 6.3" x 8.8"