The Geometrization Conjecture

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9780821852019: The Geometrization Conjecture
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Gang Tian; John Morgan
Edité par American Mathematical Society, United States (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, United States, 2014. Hardback. État : New. 263 x 188 mm. Language: English . Brand New Book. 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 are themselves geometric. This is established by showing that the Gromov-Hausdorff limits of sequences of more and more locally volume collapsed 3-manifolds are Alexandrov spaces of dimension at most 2 and then classifying these Alexandrov spaces. In the course of proving the geometrization conjecture, the authors provide an overview of the main results about Ricci flows with surgery on 3-dimensional manifolds, introducing the reader to this difficult material. The book also includes an elementary introduction to Gromov-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces is developed. All of these important topics are of independent interest. N° de réf. du libraire AAN9780821852019

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Gang Tian; John Morgan
Edité par American Mathematical Society (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
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Description du livre American Mathematical Society, 2014. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9780821852019

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Gang Tian; John Morgan
Edité par American Mathematical Society
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 2
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, The Geometrization Conjecture, John Morgan, Gang Tian, 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 are themselves geometric. This is established by showing that the Gromov-Hausdorff limits of sequences of more and more locally volume collapsed 3-manifolds are Alexandrov spaces of dimension at most 2 and then classifying these Alexandrov spaces. In the course of proving the geometrization conjecture, the authors provide an overview of the main results about Ricci flows with surgery on 3-dimensional manifolds, introducing the reader to this difficult material. The book also includes an elementary introduction to Gromov-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces is developed. All of these important topics are of independent interest. N° de réf. du libraire B9780821852019

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4.

Gang Tian; John Morgan
Edité par American Mathematical Society, United States (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 1
Vendeur
The Book Depository US
(London, Royaume-Uni)
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Description du livre American Mathematical Society, United States, 2014. Hardback. État : New. 263 x 188 mm. Language: English . Brand New Book. 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 are themselves geometric. This is established by showing that the Gromov-Hausdorff limits of sequences of more and more locally volume collapsed 3-manifolds are Alexandrov spaces of dimension at most 2 and then classifying these Alexandrov spaces. In the course of proving the geometrization conjecture, the authors provide an overview of the main results about Ricci flows with surgery on 3-dimensional manifolds, introducing the reader to this difficult material. The book also includes an elementary introduction to Gromov-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces is developed. All of these important topics are of independent interest. N° de réf. du libraire AAN9780821852019

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Gang Tian; John Morgan
Edité par Amer Mathematical Society (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 2
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Revaluation Books
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Description du livre Amer Mathematical Society, 2014. Hardcover. État : Brand New. 291 pages. 10.00x7.00x0.75 inches. In Stock. N° de réf. du libraire __0821852019

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Gang Tian; John Morgan
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
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Description du livre 2014. Hardcover. État : New. 189mm x 263mm x. Hardcover. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 291 pages. 0.690. N° de réf. du libraire 9780821852019

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7.

Gang Tian; John Morgan
Edité par American Mathematical Society (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, 2014. Hardcover. État : New. 17.8 x 25.4 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. N° de réf. du libraire MM-60725447

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