Hyperbolic Geometry from a Local Viewpoint Contributor(s): Keen, Linda (Author), Lakic, Nikola (Author) |
|||
ISBN: 052168224X ISBN-13: 9780521682244 Publisher: Cambridge University Press
Binding Type: Paperback - See All Available Formats & Editions Published: April 2007 Annotation: 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 of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems. Click for more in this series: London Mathematical Society Student Texts |
Additional Information |
BISAC Categories: - Mathematics | Applied - Mathematics | Topology - General |
Dewey: 516.9 |
Series: London Mathematical Society Student Texts |
Physical Information: 0.6" H x 6.26" W x 8.85" L (0.87 lbs) 282 pages |
Features: Bibliography, Illustrated, Index, Table of Contents |
Descriptions, Reviews, Etc. |
Contributor Bio(s): Keen, Linda: - Linda Keen is a Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center.Lakic, Nikola: - Nikola Lakic is an Associate Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center. |
Customer ReviewsSubmit your own review |
To tell a friend about this book, you must Sign In First! |