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Fundamentals of Hyperbolic Manifolds

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Fundamentals of Hyperbolic Manifolds by R. D. Canary
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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.
Cambridge University Press; April 2006
349 pages; ISBN 9781139118446
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Title: Fundamentals of Hyperbolic Manifolds
Author: R. D. Canary; A. Marden; D. B. A. Epstein