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The convergence of the minimal positive fundamental solutions under Ricci flow
Author(s):
Shijin
Zhang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1121-1129.
MSC (2000):
Primary 58J35, 53C44;
Secondary 35K05
Posted:
October 20, 2009
MathSciNet review:
2566577
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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In an unpublished paper, Hsu gives a proof of the convergence of the fundamental solutions.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
Email:
shijin_zhang@yahoo.com
DOI:
10.1090/S0002-9939-09-10087-4
PII:
S 0002-9939(09)10087-4
Keywords:
Ricci flow,
conjugate heat equation,
minimal positive fundamental solutions
Received by editor(s):
February 7, 2009,
Received by editor(s) in revised form:
June 7, 2009, and June 17, 2009
Posted:
October 20, 2009
Additional Notes:
The author was supported by the China Scholarship Council.
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2009,
American Mathematical Society
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