Hyperbolic Geometry from a Local Viewpoint: 68 (London Mathematical Society Student Texts, Series Number 68) - Tapa blanda

Libro 53 de 83: London Mathematical Society Student Texts

Keen, Linda

 
9780521682244: Hyperbolic Geometry from a Local Viewpoint: 68 (London Mathematical Society Student Texts, Series Number 68)
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ISBN 10: 052168224X ISBN 13: 9780521682244
Editorial: Cambridge University Press, 2009

Sinopsis

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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Acerca de los autores

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
2009
Idioma
Inglés
ISBN 10 
052168224X
ISBN 13 
9780521682244
Encuadernación
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Número de páginas
282
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Otras ediciones populares con el mismo título

9780521863605: Hyperbolic Geometry from a Local Viewpoint Hardback: 68 (London Mathematical Society Student Texts, Series Number 68)

Edición Destacada

ISBN 10:  0521863600 ISBN 13:  9780521863605
Editorial: Cambridge University Press, 2007
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