London Mathematical Society Student Texts: Hyperbolic Geometry from a Local Viewpoint (Volume 68)

Keen, Linda

ISBN 10: 052168224X / ISBN 13: 9780521682244

Edité par Cambridge University Press, 2007

Volume 68. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9780521682244. N° de réf. du vendeur 3898065

Synopsis :

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.

À propos des auteurs: Linda Keen is a Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center.

Nikola Lakic is an Associate Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center.

Détails bibliographiques

Titre : London Mathematical Society Student Texts: ...
Éditeur : Cambridge University Press
Date d'édition : 2007
Reliure : Couverture souple
Etat : Good