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Fundamentals of Hyperbolic Manifolds

Download or Read eBook Fundamentals of Hyperbolic Manifolds PDF written by R. D. Canary and published by Cambridge University Press. This book was released on 2006-04-13 with total page 356 pages. Available in PDF, EPUB and Kindle.
Fundamentals of Hyperbolic Manifolds
Author :
Publisher : Cambridge University Press
Total Pages : 356
Release :
ISBN-10 : 113944719X
ISBN-13 : 9781139447195
Rating : 4/5 (9X Downloads)

Book Synopsis Fundamentals of Hyperbolic Manifolds by : R. D. Canary

Book excerpt: Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.


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