Diameter control under Ricci flow

Communications in Analysis and Geometry

Volumn 13, Issue 5, 2005, Pages 1039-1055

  Topping, Peter ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

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EID: 33745130417     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2005.v13.n5.a9     Document Type: Article

References (14)

1. D. M. DETURCK, Deforming metrics in the direction of their Ricci tensors (improved version). Collected papers on the Ricci flow, eds H.D.Cao, B.Chow, S.C.Chu, S.T.Yau. Series in geometry and topology 37 International Press (2003) 163-165.
2. R. S. HAMILTON, Three manifolds with positive Ricci curvature. J. Diff. Geom. 17 (1982) 255-306.
3. R. S. HAMILTON, The formation of singularities in the Ricci flow. Surveys in Diff. Geom. 2 (1995) 7-136.
4. B. KLEINER and J. LOTT, Notes on Perelman's papers. (2003) http://www.math.lsa.umich.edu/research/ricciflow/perelman.html
5. L. NI, The entropy formula for linear heat equation. J. Geom. Anal. 14 (2004) 87-100;
6. Addendum. J. Geom. Anal. 14 (2004) 369-374.
7. G. PERELMAN, The entropy formula for the Ricci flow and its geometric applications. http://arXiv.org/abs/math.DG/0211159
8. O. S. ROTHAUS, Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators. J. Funct. Anal. 42 (1981) 110-120.
9. N. SESUM, Curvature tensor under the Ricci flow. http://arXiv.org/abs/ math.DG/0311397
10. L. M. SIMON, Existence of surfaces minimizing the Willmore functional. Comm. Anal. Geom. 1 No.2 (1993) 281-326.
11. N. SESUM, G. TIAN and X. WANG Notes on Perelman's paper on the entropy formula for the Ricci flow and its geometric applications. (2003)
12. P. M. TOPPING, Mean Curvature Flow and Geometric Inequalities. J. Reine Angew. Math. 503 (1998) 47-61.
13. P. M. TOPPING, Lectures on the Ricci flow. Course notes from spring 2004, to appear, LMS Lecture Notes, C.U.P. (2006).
14. S. R. S. VARADHAN, Probability Theory. Courant lecture notes in mathematics 7 AMS (2001).