Type II ancient solutions to the Ricci flow on surfaces

Communications in Analysis and Geometry

Volumn 15, Issue 1, 2007, Pages 195-216

  Chu, Sun Chin ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947629624     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2007.v15.n1.a7     Document Type: Article

References (22)

1. A. D. Alexandrov and V. A. Zalgaller, Intrinsic geometry of surfaces, Translations of Mathematical Monographs, Vol. 15, AMS, Providence, HI, 1967.
2. Y. D. Burago and V. A. Zalgaller, Geometric inequality, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1988.
3. J. Cheeger and T. Colding, Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann. Math. 144 (1996), 189-237.
4. B. Chow, P. Lu and L. Ni, Hamilton's Ricci flow, Graduate Studies in Mathematics, Vol. 77, AMS, Providence, HI, 2006.
5. P. Daskalopoulo and R. Hamilton, Geometric estimates for the logarithmic fast diffusion equation, Commun. Anal. Geom. 12 (2004), 143-164.
6. 2, Int. Math. Res. Not. 2006, Art. ID 83610, 20 pp.
7. R. Greene and K. Shiohama, Convex functions on complete noncompact manifolds: topological structure, Invent. Math. 63 (1981), 129-157.
8. R. Hamilton, The Ricci flow on surfaces, Contem. Math. 71 (1988), 237-261.
9. R. Hamilton, The Harnack estimate for the Ricci flow, J. Diff. Geom. 37 (1993), 225-243.
10. R. Hamilton, Eternal solutions to the Ricci flow, J. Diff. Geom. 38 (1993), 1-11.
11. R. Hamilton, The formation of singularities in the Ricci flow, Surveys in Differential Geometry, Vol. 2, International Press, 1995. pp. 7-136.
12. P. Hartman, Geodesic parallel coordinates in the large, Amer. J. Math. 86 (1964), 705-727.
13. L. Ni, Ancient solutions to Kähler-Ricci flow, Math. Res. Lett. 12 (2005), 633-653.
14. L. Ni and L. F. Tarn, Kähler-Ricci flow and the Poincaré-Lelong equation, Commun. Anal. Geom. 12 (2004), 111-141.
15. L. Ni and L. F. Tam, Notes on soliton 1, unpulished.
16. L. Ni and L. F. Tam, Notes on soliton 2, unpulished.
17. S. P. Olovjanišnikov, On the bending of infinite convex surfaces, Mat. Sb. 18 (1946), no. 60, 429-440.
18. A. V. Pogorelov, Extrinsic geometry of convex surface, Translations of Mathematical Monographs, Vol. 35, AMS, Providence, RI, 1973.
19. P. Rosenau, On fast and super-fast diffusion, Phys. Rev. Lett. 74 (1995), 1056-1059.
20. W.-X. Shi, Ricci flow and the uniformization on complete noncompact Kähler manifolds, J. Diff. Geom. 45 (1997), 94-220.
21. J. J. Stoker, Über die Gestalt der positiv gekrümmten offenen Flächen im dreidimensionalen Raum, Comput. Math. 3 (1936), 55-88.
22. 2, Commun. Anal. Geom. 1, (1993), 439-472.