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On the completeness of gradient Ricci solitons
Author:
Zhu-Hong Zhang
Journal:
Proc. Amer. Math. Soc. 137 (2009), 2755-2759
MSC (2000):
Primary 53C20
Posted:
March 18, 2009
MathSciNet review:
2497489
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Abstract: A gradient Ricci soliton is a triple  satisfying  for some real number  . In this paper, we will show that the completeness of the metric  implies that of the vector field  .
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 hler manifolds of nonnegative bisectional curvature, J. Diff. Geom. 19 (1984), 283-297. MR 755227 (86i:53042)
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Additional Information
Zhu-Hong Zhang
Affiliation:
Department of Mathematics, Sun Yat-sen University, Guangzhou, People’s Republic of China 510275
Email:
juhoncheung@sina.com
DOI:
http://dx.doi.org/10.1090/S0002-9939-09-09866-9
PII:
S 0002-9939(09)09866-9
Keywords:
Completeness,
gradient Ricci soliton,
gradient self-similar solution
Received by editor(s):
September 22, 2008
Received by editor(s) in revised form:
December 30, 2008
Posted:
March 18, 2009
Additional Notes:
The author was supported in part by NSFC 10831008 and NKBRPC 2006CB805905.
Communicated by:
Richard A. Wentworth
Article copyright:
© Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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