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The Hyperbolization Theorem for Fibered 3-Manifolds by Jean-Pierre Otal; Leslie D. Kay (Translator) is a nonfiction available to read on EtoBox.

What is The Hyperbolization Theorem for Fibered 3-Manifolds about?

A fundamental element of the study of 3-manifolds is Thurston's remarkable geometrization conjecture, which states that the interior of every compact 3-manifold has a canonical decomposition into pieces that have geometric structures. In most cases, these structures are complete metrics of constant negative curvature, that is to say, they are hyperbolic manifolds. The conjecture has been proved in some important cases, such as Haken manifolds and certain types of fibered manifolds. The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a complete proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original (unpublished) proof, though the double limit theorem is dealt with in a different way. The book is suitable for graduate students with a background in modern techniques of low-dimensional topology and will also be of interest to researchers in geometry and topology. This is the English translation of a volume originally published in 1996 by the Société Mathématique de France. Readership Graduate students and research mathematicians interes

Who reads The Hyperbolization Theorem for Fibered 3-Manifolds?

Author

Jean-Pierre Otal; Leslie D. Kay (Translator)

Publisher

American Mathematical Society : Société mathématique de France

Published

2001

Language

EN

ISBN

9780821821534

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-24