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The Hyperbolization Theorem for Fibered 3-manifolds (SMF/AMS Texts & Monographs)
Otal
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Description for The Hyperbolization Theorem for Fibered 3-manifolds (SMF/AMS Texts & Monographs)
Paperback. 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. Series: SMF/AMS Texts & Monographs. Num Pages: 133 pages, bibliography, index. BIC Classification: PBG; PBM; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 248 x 165. Weight in Grams: 260.
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 ... Read more
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 ... Read more
Product Details
Publisher
American Mathematical Society United States
Number of pages
133
Format
Paperback
Publication date
2001
Series
SMF/AMS Texts & Monographs
Condition
New
Place of Publication
Providence, United States
ISBN
9780821821534
SKU
V9780821821534
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Otal
Jean-Pierre Torrell is a Dominican priest of the Toulouse province and professor of dogmatic theology at the University of Fribourg. From 1973 to 1981, he taught at the Gregorian University in Rome and was a member of the Leonine Commission, where he contributed to research on and editing of Aquinas's works.
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