Hyperbolic Geometry from a Local Viewpoint

Name: Hyperbolic Geometry from a Local Viewpoint
Brand: Cambridge University Press
SKU: 9780521682244
Price: 346.26 RON
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Autor: Linda Keen

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Legare: Carte broșată

Editura: Cambridge University Press

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

Informații despre carte

Autor

Linda Keen

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2007

Pagini

282

EAN

9780521682244

ISBN

052168224X

Enbook ID

04378599

Editura

Cambridge University Press

Greutate

398

Dimensiuni

155 x 227 x 14

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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