Skip to main content
Log in

A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds

  • Published:
Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Chow, B.: Interpolating between Li-Yau’s and Hamilton’s Harnack inequalities on a surface. J. Partial Diff. Equations (China) 11, 137-140 (1998)

    Google Scholar 

  2. Chow, B., Chu, S.-C.: A geometric approach to the linear trace Harnack inequality for the Ricci flow. Math. Res. Lett. 3, 549-568 (1996)

    Google Scholar 

  3. Chow, B., Hamilton, R.S.: Constrained and linear Harnack inequalities for parabolic equations. Invent. Math. 129, 213-238 (1997)

    Article  Google Scholar 

  4. Chow, B., Knopf, D.: New Li-Yau-Hamilton inequalities for the Ricci flow via the space-time approach. J. Differ. Geom. 60, 1-51 (2002)

    Google Scholar 

  5. DeTurck, D.: Deforming metrics in the direction of their Ricci tensors. J. Diff. Geom. 18, 157-162 (1983); ibid. (improved version). In: H.-D. Cao et al. (eds.) Selected papers on Ricci flow. International Press (2004)

    Google Scholar 

  6. Guenther, C., Isenberg, J., Knopf, D.: Stability of the Ricci flow at Ricci-flat metrics. Comm. Anal. Geom. 10, 741-777 (2002)

    Google Scholar 

  7. Gursky, M.: The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics. Ann. of Math. 148, 315-337 (1998)

    Google Scholar 

  8. Hamilton, R.S.: Three-manifolds with positive Ricci curvature. J. Diff. Geom. 17, 255-306 (1982)

    Google Scholar 

  9. Hamilton, R.S.: The formation of singularities in the Ricci flow. In: Surveys in differential geometry 2, pp. 7-136. International Press (1995)

  10. Hamilton, R.S.: Four-manifolds with positive curvature operator. J. Differential Geom. 24, 153-179 (1986)

    Google Scholar 

  11. Hamilton, R.S.: The Harnack estimate for the Ricci flow. J. Diff. Geom. 37, 225-243 (1993)

    Google Scholar 

  12. Hamilton, R.S.: Four-manifolds with positive isotropic curvature. Comm. Anal. Geom. 5, 1-92 (1997)

    Google Scholar 

  13. Li, P., Yau, S.T. On the parabolic kernel of the Shrödinger operator. Acta Math. 156, 153-201 (1986)

    Google Scholar 

  14. Ni, L., Tam, L.-F.: Kähler-Ricci flow and the Poincaré-Lelong equation. Comm. Anal. Geom. 12, 111-141 (2004)

    Google Scholar 

  15. Perelman, G.: The entropy formula for the Ricci flow and its geometric applications. arXiv:math/0211159

  16. Perelman, G.: Ricci flow with surgery on three-manifolds. arXiv:math/0303109

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Greg Anderson.

Additional information

Received: 29 June 2002, Accepted: 12 March 2003, Published online: 25 January 2005

Bennett Chow : Research partially supported by NSF grant DMS-9971891

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, G., Chow, B. A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds. Calc. Var. 23, 1–12 (2005). https://doi.org/10.1007/s00526-003-0212-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00526-003-0212-2

Keywords

Navigation