The convergence of the minimal positive fundamental solutions under Ricci flow
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Abstract:
In an unpublished paper, Hsu gives a proof of the convergence of the fundamental solutions. Since we had a problem understanding Hsu’s paper, in this paper we give a detailed proof of the convergence of the minimal positive fundamental solutions of the conjugate heat equation on complete non-compact manifolds under the Cheeger-Gromov convergence of Ricci flows.References
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Additional Information
- Shijin Zhang
- Affiliation: Chern Institute of Mathematics, Nankai University, Tianjin, People’s Republic of China
- Address at time of publication: Department of Mathematics, University of California at San Diego, La Jolla, California 92093
- MR Author ID: 887805
- Email: shijin_zhang@yahoo.com
- Received by editor(s): February 7, 2009
- Received by editor(s) in revised form: June 7, 2009, and June 17, 2009
- Published electronically: October 20, 2009
- Additional Notes: The author was supported by the China Scholarship Council.
- Communicated by: Richard A. Wentworth
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 1121-1129
- MSC (2000): Primary 58J35, 53C44; Secondary 35K05
- DOI: https://doi.org/10.1090/S0002-9939-09-10087-4
- MathSciNet review: 2566577