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The Geometrization Conjecture (Clay Mathematics Monographs)
Gang Tian John Morgan
€ 106.22
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Description for The Geometrization Conjecture (Clay Mathematics Monographs)
Hardcover. Series: Clay Mathematics Monographs. Num Pages: 291 pages, illustrations (black and white). BIC Classification: PBM; PBP. Category: (G) General (US: Trade). Dimension: 189 x 263 x 24. Weight in Grams: 690.
This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces, i.e., 3-manifolds with locally homogeneous metrics of finite volume. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the book is devoted to showing that the latter pieces ... Read more
This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces, i.e., 3-manifolds with locally homogeneous metrics of finite volume. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the book is devoted to showing that the latter pieces ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
American Mathematical Society
Condition
New
Series
Clay Mathematics Monographs
Number of Pages
291
Place of Publication
Providence, United States
ISBN
9780821852019
SKU
V9780821852019
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Gang Tian John Morgan
John Morgan, Simons Center for Geometry and Physics, Stony Brook University, NY. Gang Tian, Princeton University, NJ, and Peking University, Beijing, China.
Reviews for The Geometrization Conjecture (Clay Mathematics Monographs)
In the introduction the authors give a good outline of the proof so the reader can catch the spirit of such a complex proof. In the course of proving the conjecture, the authors apply very difficult tools reviewed in the book. They give a good survey on Ricci flows with surgery on 3-dimensional manifolds and they discuss in details the ... Read more