The Geometrization Conjecture (Clay Mathematics Monographs)

Note moyenne 0
( 0 avis fournis par Goodreads )
 
9780821852019: The Geometrization Conjecture (Clay Mathematics Monographs)

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

About the Author :

John Morgan , Simons Center for Geometry and Physics, Stony Brook University, NY. Gang Tian , Princeton University, NJ, and Peking University, Beijing, China.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Acheter neuf Afficher le livre
EUR 77,52

Autre devise

Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis

Destinations, frais et délais

Ajouter au panier

Meilleurs résultats de recherche sur AbeBooks

1.

John Morgan, Gang Tian
Edité par American Mathematical Society, United States (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 1
Vendeur
The Book Depository
(London, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre American Mathematical Society, United States, 2014. Hardback. État : New. 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

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 77,52
Autre devise

Ajouter au panier

Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

2.

John Morgan
Edité par American Mathematical Society (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Quantité : 3
Vendeur
Books2Anywhere
(Fairford, GLOS, Royaume-Uni)
Evaluation vendeur
[?]

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

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 68,53
Autre devise

Ajouter au panier

Frais de port : EUR 10,08
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

3.

John Morgan, Gang Tian
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)
Evaluation vendeur
[?]

Description du livre American Mathematical Society, United States, 2014. Hardback. État : New. 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

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 81,18
Autre devise

Ajouter au panier

Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

4.

John Morgan, Gang Tian
Edité par American Mathematical Society
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 3
Vendeur
THE SAINT BOOKSTORE
(Southport, Royaume-Uni)
Evaluation vendeur
[?]

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

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 77,11
Autre devise

Ajouter au panier

Frais de port : EUR 7,78
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

5.

Morgan, John/ Tian, Gang
Edité par Amer Mathematical Society (2014)
ISBN 10 : 0821852019 ISBN 13 : 9780821852019
Neuf(s) Couverture rigide Quantité : 2
Vendeur
Revaluation Books
(Exeter, Royaume-Uni)
Evaluation vendeur
[?]

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

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 101,29
Autre devise

Ajouter au panier

Frais de port : EUR 6,71
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais