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PRINTED BOOKS
Author Morgan, John W., 1946-

Title Ricci flow and the Poincaré conjecture / John Morgan, Gang Tian.

Published Providence, R.I. : American Mathematical Society ; Oxford : Oxford University Press [distributor], c2007.

Copies

Location Call No. Status
 UniM ERC  514.34 MORG    AVAILABLE
Physical description xlii, 521 p. ; 26 cm.
Series Clay mathematics monographs ; v. 3
Clay mathematics monographs, 1539-6061 ; v. 3
Notes Formerly CIP. Uk
Bibliography Includes bibliographical references and index.
Contents Pt. 1. Background from Riemannian geometry and Ricci flow -- Ch. 1. Preliminaries from Riemannian geometry -- Ch. 2. Manifolds of non-negative curvature -- Ch. 3. Basics of Ricci flow -- Ch. 4. The maximum principle -- Ch. 5. Convergence results for Ricci flow -- Pt. 2. Perelman's length function and its applications -- Ch. 6. A comparison geometry approach to the Ricci flow -- Ch. 7. Complete Ricci flows of bounded curvature -- Ch. 8. Non-collapsed results -- Ch. 9. [kappa]-non-collapsed ancient solutions -- Ch. 10. Bounded curvature at bounded distance -- Ch. 11. Geometric limits of generalized Ricci flows -- Ch. 12. The standard solution -- Pt. 3. Ricci flow with surgery -- Ch. 13. Surgery on a [delta]-neck -- Ch. 14. Ricci flow with surgery : the definition -- Ch. 15. Controlled Ricci flows with surgery -- Ch. 16. Proof of non-collapsing -- Ch. 17. Completion of the proof of Theorem 15.9 -- Pt. 4. Completion of the proof of the Poincare conjecture.
Ch. 18. Finite-time extinction -- Ch. 19. Completion of the proof of proposition 18.24 -- App. 3-manifolds covered by canonical neighborhoods.
Other author Tian, G.
Subject Ricci flow.
Poincare conjecture.
ISBN 9780821843284 (hbk.) : £40.25
0821843281 (hbk.) : £40.25