Hyperbolic Geometry from a Local Viewpoint

Name: Hyperbolic Geometry from a Local Viewpoint
Brand: Cambridge University Press
SKU: 9780521863605
Price: 142.84 EUR
Availability: InStock

Autor: Linda KeenNikola Lakic

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

Odosielame za 9-15 dní

142.84 €

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The a...

Informácie o knihe

Autor

Linda KeenNikola Lakic

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2007

Stránok

282

EAN

9780521863605

ISBN

0521863600

Enbook ID

02047845

Vydavateľ

Cambridge University Press

Hmotnosť

532

Rozmery

156 x 234 x 19

Kompletný popis

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.

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