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  3. Fundamentals of Hyperbolic Manifolds
  • Cited by 33
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2011
      April 2006
      ISBN:
      9781139106986
      9780521615587
      DOI:
      https://doi.org/10.1017/CBO9781139106986
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.492kg, 348 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      London Mathematical Society Lecture Note Series (328)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (328)
    Information

    Book description

    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.

    Reviews

    'The book covers the basic properties, and explains the mathematical framework for understanding the 3-dimensional spaces that support a hyperbolic metric.'

    Source: L'enseignement mathematique

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