On the $l$-function and the reduced volume of Perelman I
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Abstract:
The main purpose of this paper is to present a number of analytic and geometric properties of the $l$-function and the reduced volume of Perelman, including in particular the monotonicity, the upper bound and the rigidities of the reduced volume.References
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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), 507-531
- MSC (2000): Primary 53C20, 53C21
- DOI: https://doi.org/10.1090/S0002-9947-07-04405-4
- MathSciNet review: 2342013