Hyperbolic Geometry from a Local Viewpoint
Language: English
Published by Cambridge University Press, 2007
Series: Book 53 of 83 - London Mathematical Society Student Texts
- Softcover
- Used
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.World of Books (was SecondSale)
AbeBooks seller since December 20, 2007
Condition: Used - Good
£ 54.66
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Add to basketItem description from seller
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.
Seller Inventory # CIN052168224XG
- Title
- Hyperbolic Geometry from a Local Viewpoint
- Author
- Linda Keen
- Publisher
- Cambridge University Press
- Publication year
- 2007
- Condition
- Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 052168224X
- ISBN 13
- 9780521682244
- Series
- Book 53 of 83: London Mathematical Society Student Texts
"Synopsis" may belong to another edition of this title.
About the Author
Nikola Lakic is an Associate Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center.
"About the title" may belong to another edition of this title.
World of Books (was SecondSale)
Montgomery, IL, U.S.A.
AbeBooks seller since December 20, 2007
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