Hyperbolic Geometry from a Local Viewpoint

Name: Hyperbolic Geometry from a Local Viewpoint
Brand: Cambridge University Press
SKU: 9780521863605
Price: 819.67 RON
Availability: InStock

Autor: Linda KeenNikola Lakic

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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819.67 lei

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

Informații despre carte

Autor

Linda KeenNikola Lakic

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2007

Pagini

282

EAN

9780521863605

ISBN

0521863600

Enbook ID

02047845

Editura

Cambridge University Press

Greutate

532

Dimensiuni

156 x 234 x 19

Descriere completă

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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Hyperbolic Geometry from a Local Viewpoint

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