On the l-function and the reduced volume of Perelman I

Transactions of the American Mathematical Society

Volumn 360, Issue 1, 2008, Pages 507-531

  Ye, Rugang ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68349104134     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-07-04405-4     Document Type: Article

References (10)

1. [F] H. Federer, Geometric Measure Theory, Springer-Verlag, 1969. MR0257325 (41:1976)
2. [GW] R. E. Greene and H. Wu, On the subharmonicity and plurisubharmonicity of geodesically convex functions, Indiana Univ. Math. J. 22 (1973), 641-653. MR0422686 (54:10672)
3. [H] R. Hamilton, Four manifolds with positive curvature operator, J. Diff. Geom. 24 (1986), 153-179. MR862046 (87m:53055)
4. [KL] B. Kleiner and J. Lott, Notes on Perelman's papers, www.math.lsa.umich.edu/research/ ricciflow/perelman.html
5. [P1] G. Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:math.DG/0211159.
6. [P2] G. Perelman, Ricci flow with surgeries on three-manifolds, arXiv:math.DG/0303109.
7. [S] W. -X. Shi, Deforming the metric on complete Riemannian manifolds, J. Diff. Geom. 30 (1989), 223-301. MR1001277 (90i:58202)
8. [Y1] R. Ye, On the l-function and the reduced volume of Perelman.
9. [Y2] R. Ye, On the l-function and the reduced volume of Perelman II, this issue.
10. [Y3] R. Ye, Notes on convex functions on Riemannian manifolds.