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Comptes Rendus Mathématique
Volume 345, n° 9
pages 503-506 (novembre 2007)
Doi : 10.1016/j.crma.2007.09.017
Received : 6 June 2007 ;  accepted : 19 September 2007
Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons
Les limites dʼexplosion compactes en temps fini de singularités du flot de Ricci sont des solitons « rapetissés »
 

Zhei-lei Zhang
Chern Institute of Mathematics, Weijin Road 94, Tianjin 300071, PR China 

Abstract

Using the and μ functional introduced by Perelman, we prove that the compact blow-up limit of a Ricci flow which generates singularities at finite time must be a shrinking Ricci soliton. To cite this article: Z.-l. Zhang, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.
Résumé

Utilisant les fonctionnelles et μ introduites par Perelman, nous démontrons que les limites dʼexplosion compactes, en temps fini, du flot de Ricci engendrent des singularities de type solitons « rapetissés ». Pour citer cet article : Z.-l. Zhang, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.


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