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.
Rezensionen / Stimmen
'The book covers the basic properties, and explains the mathematical framework for understanding the 3-dimensional spaces that support a hyperbolic metric.' L'enseignement mathematique
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
75 Line drawings, unspecified
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-521-61558-7 (9780521615587)
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Schweitzer Klassifikation
Richard Canary is a Professor of Mathematics at the University of Michigan. Albert Marden is a Professor of Mathematics at the University of Minnesota. David Epstein is an Emeritus Professor at the University of Warwick.
Herausgeber*in
University of Michigan, Ann Arbor
University of Minnesota
University of Warwick
Preface 2005; Preface; Part I. Notes on Notes of Thurston R. D. Canary, D. B. A. Epstein and P. Green; Part II. Convex Hulls in Hyperbolic Space, a Theorem of Sullivan, and Measured Pleated Surfaces D. B. A. Epstein and A. Marden; Part III. Earthquakes in Two-Dimensional Hyperbolic Geometry William P. Thurston; Part IV. Lectures on Measures on Limit Sets of Kleinian Groups S. J. Patterson.
