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On the -function and the reduced volume of Perelman II

Author(s): Rugang Ye
Journal: Trans. Amer. Math. Soc. 360 (2008), 533-544.
MSC (2000): Primary 53C20, 53C21
Posted: August 6, 2007
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Abstract: In this paper we present a major application of the -function and the reduced volume of Perelman, namely their application to the analysis of the asymptotical limits of $\kappa$ -solutions of the Ricci flow.

References:

[H]: R. Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math. 117 (1995), 545-572. MR 1333936 (96c:53056)
[P1]: G. Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:math.DG/0211159.
[P2]: G. Perelman, Ricci flow with surgeries on three-manifolds, arXiv:math.DG/0303109.
[Y1]: R. Ye, On the -function and the reduced volume of Perelman.
[Y2]: R. Ye, On the -function and the reduced volume of Perelman I, this issue.


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