Książka Hyperbolic Geometry from a Local Viewpoint Linda KeenNikola Lakic

Hyperbolic Geometry from a Local Viewpoint

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
633.42
Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The a...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2007
strony
282
EAN
9780521863605
ISBN
0521863600
Enbook ID
02047845
Waga
532
Wymiary
156 x 234 x 19

Pełny opis

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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