On the $l$-function and the reduced volume of Perelman II
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Abstract:
In this paper we present a major application of the $l$-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
- Richard S. Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math. 117 (1995), no. 3, 545–572. MR 1333936, DOI 10.2307/2375080
- G. Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:math.DG/0211159.
- G. Perelman, Ricci flow with surgeries on three-manifolds, arXiv:math.DG/0303109.
- R. Ye, On the $l$-function and the reduced volume of Perelman.
- R. Ye, On the $l$-function and the reduced volume of Perelman I, this issue.
Additional Information
- Rugang Ye
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- Email: yer@math.ucsb.edu
- Received by editor(s): May 20, 2006
- Received by editor(s) in revised form: September 1, 2006
- Published electronically: August 6, 2007
- © Copyright 2007 Rugang Ye
- Journal: Trans. Amer. Math. Soc. 360 (2008), 533-544
- MSC (2000): Primary 53C20, 53C21
- DOI: https://doi.org/10.1090/S0002-9947-07-04406-6
- MathSciNet review: 2342014