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.
General
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