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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

   

 

On the $ l$-function and the reduced volume of Perelman II


Author: Rugang Ye
Journal: Trans. Amer. Math. Soc. 360 (2008), 533-544
MSC (2000): Primary 53C20, 53C21
Published electronically: August 6, 2007
MathSciNet review: 2342014
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [H] Richard S. Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math. 117 (1995), no. 3, 545–572. MR 1333936 (96c:53056), http://dx.doi.org/10.2307/2375080
  • [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 $ l$-function and the reduced volume of Perelman.
  • [Y2] R. Ye, On the $ l$-function and the reduced volume of Perelman I, this issue.

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Additional Information

Rugang Ye
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: yer@math.ucsb.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04406-6
PII: S 0002-9947(07)04406-6
Received by editor(s): May 20, 2006
Received by editor(s) in revised form: September 1, 2006
Published electronically: August 6, 2007
Article copyright: © Copyright 2007 Rugang Ye