Description

Book Synopsis
The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original proof, though the double limit theorem is dealt with in a different way.

Table of Contents
Teichmuller spaces and Kleinian groups Real trees and degenerations of hyperbolic structures Geodesic laminations and real trees Geodesic laminations and the Gromov topology The double limit theorem The hyperbolization theorem for fibered manifolds Sullivan's theorem Actions of surface groups on real trees Two examples of hyperbolic manifolds that fiber over the circle Geodesic laminations Bibliography Index.

The Hyperbolization Theorem for Fibered

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of The Hyperbolization Theorem for Fibered by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 9/30/2001 12:00:00 AM
      ISBN13: 9780821821534, 978-0821821534
      ISBN10: 0821821539

      Description

      Book Synopsis
      The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original proof, though the double limit theorem is dealt with in a different way.

      Table of Contents
      Teichmuller spaces and Kleinian groups Real trees and degenerations of hyperbolic structures Geodesic laminations and real trees Geodesic laminations and the Gromov topology The double limit theorem The hyperbolization theorem for fibered manifolds Sullivan's theorem Actions of surface groups on real trees Two examples of hyperbolic manifolds that fiber over the circle Geodesic laminations Bibliography Index.

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