Eternal solutions to the Ricci flow on ℝ2

International Mathematics Research Notices

Volumn 2006, Issue , 2006, Pages

  Daskalopoulos, P ^a   Sesum, N ^a  

^a Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845877967     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/IMRN/2006/83610     Document Type: Article

References (19)

1. A. L. Bertozzi The mathematics of moving contact lines in thin liquid films. Notices of the American Mathematical Society 45 1998 6 689 697
2. A. L. Bertozzi M. Pugh The lubrication approximation for thin viscous films: regularity and long-time behavior of weak solutions. Communications on Pure and Applied Mathematics 49 1996 2 85 123
3. H. Brezis F. Merle Uniform estimates and blow-up behavior for solutions of -u=V(x)eu in two dimensions. Communications in Partial Differential Equations 16 1991 8-9 1223 1253
4. B.-L. Chen X.-P. Zhu Uniqueness of the Ricci flow on complete noncompact manifolds. http://arxiv.org/abs:math.DG/0505447
5. B. Chow On the entropy estimate for the Ricci flow on compact 2-orbifolds. Journal of Differential Geometry 33 1991 2 597 600
6. P. Daskalopoulos M. A. del Pino On a singular diffusion equation. Communications in Analysis and Geometry 3 1995 3-4 523 542
7. P. Daskalopoulos M. A. del Pino Type II collapsing of maximal solutions to the Ricci flow in 2. preprint
8. P. Daskalopoulos R. S. Hamilton Geometric estimates for the logarithmic fast diffusion equation. Communications in Analysis and Geometry 12 2004 1-2 143 164
9. G. P. de Gennes Wetting: statics and dynamics. Reviews of Modern Physics 1985 57 3 827 863
10. S. Gallot D. Hulin J. Lafontaine Riemannian Geometry. Universitext Springer Berlin 1990 xiv+284
11. R. S. Hamilton The Ricci flow on surfaces. Mathematics and General Relativity (Santa Cruz, CA, 1986) Contemp. Math. 71 237 262 American Mathematical Society Rhode Island 1988
12. R. S. Hamilton Eternal solutions to the Ricci flow. Journal of Differential Geometry 38 1993 1 1 11
13. R. S. Hamilton The Harnack estimate for the Ricci flow. Journal of Differential Geometry 37 1993 1 225 243
14. S.-Y. Hsu Global existence and uniqueness of solutions of the Ricci flow equation. Differential and Integral Equations 14 2001 3 305 320
15. J. Jost Riemannian Geometry and Geometric Analysis. Universitext Springer Berlin 2002 xiv+532
16. G. Perelman The entropy formula for the Ricci flow and its geometric applications. preprint, 2002, http://arxiv.org/abs:math.DG/0211159
17. A. Rodriguez J. L. Vazquez J. R. Esteban The maximal solution of the logarithmic fast diffusion equation in two space dimensions. Advances in Differential Equations 2 1997 6 867 894
18. P. Topping The Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics. preprint, 2006
19. L.-F. Wu The Ricci flow on complete R2. Communications in Analysis and Geometry 1 1993 3-4 439 472