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Fundamentals of Hyperbolic Manifolds
Selected Expositions

Part of London Mathematical Society Lecture Note Series

D. Canary, D. B. A. Epstein, P. Green, William P. Thurston, S. J. Patterson
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  • Date Published: April 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521615587


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About the Authors
  • 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.

    • Rigorous introduction to and exposition of some fundamental topics required in the study of hyperbolic manifolds
    • Important material, not otherwise published, now brought up-to-date; original books frequently requested for advanced lecture courses in hyperbolic geometry
    • Expositions of a number of topics which are of fundamental importance in the modern theory
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    Reviews & endorsements

    '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

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    Product details

    • Date Published: April 2006
    • format: Paperback
    • isbn: 9780521615587
    • length: 348 pages
    • dimensions: 227 x 152 x 18 mm
    • weight: 0.492kg
    • contains: 75 b/w illus.
    • availability: Available
  • Table of Contents

    Preface 2005
    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.

  • Editors

    R. D. Canary, University of Michigan, Ann Arbor
    Richard Canary is a Professor of Mathematics at the University of Michigan.

    A. Marden, University of Minnesota
    Albert Marden is a Professor of Mathematics at the University of Minnesota.

    D. B. A. Epstein, University of Warwick
    David Epstein is an Emeritus Professor at the University of Warwick.


    D. Canary, D. B. A. Epstein, P. Green, William P. Thurston, S. J. Patterson

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