Using the λ 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.
Utilisant les fonctionnelles λ et μ introduites par Perelman, nous démontrons que les limites d'explosion compactes, en temps fini, du flot de Ricci engendrent des singularities de type solitons « rapetissés ».
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Zhei-lei Zhang 1
@article{CRMATH_2007__345_9_503_0, author = {Zhei-lei Zhang}, title = {Compact blow-up limits of finite time singularities of {Ricci} flow are shrinking {Ricci} solitons}, journal = {Comptes Rendus. Math\'ematique}, pages = {503--506}, publisher = {Elsevier}, volume = {345}, number = {9}, year = {2007}, doi = {10.1016/j.crma.2007.09.017}, language = {en}, }
Zhei-lei Zhang. Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons. Comptes Rendus. Mathématique, Volume 345 (2007) no. 9, pp. 503-506. doi : 10.1016/j.crma.2007.09.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.017/
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