Hyperbolic Geometry from a Local Viewpoint - Couverture rigide

Keen, Linda; Lakic, Nikola

Couverture rigide

ISBN 10 : 0521863600 ISBN 13 : 9780521863605

Editeur : Cambridge University Press, 2007

Synopsis

Book by Keen Linda

A propos du livre

Présentation de l'éditeur :

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.

Revue de presse :

'Here new and interesting results are collected and presented for a target audience of graduate students and researchers, but the first half of the book is well accessible also for undergraduate students, and indeed everyone who is interested in an introduction to hyperbolic geometry.' Internationale Mathematische Nachrichten

À propos de cette édition

• Éditeur: Cambridge University Press
• Date d'édition: 2007
• ISBN 10: 0521863600
• ISBN 13: 9780521863605
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 282