A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
Authors:
Yuguang Zhang and Zhenlei Zhang
Journal:
Proc. Amer. Math. Soc. 140 (2012), 1777-1783
MSC (2010):
Primary 53C44
Posted:
September 7, 2011
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Abstract: In this short paper, we prove a Hitchin-Thorpe type inequality for closed 4-manifolds with non-positive Yamabe invariant and admitting long time solutions of the normalized Ricci flow equation with bounded scalar curvature.
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Additional Information
Yuguang Zhang
Affiliation:
Department of Mathematics, Capital Normal University, Beijing, People’s Republic of China
Email:
yuguangzhang76@yahoo.com
Zhenlei Zhang
Affiliation:
Department of Mathematics, Capital Normal University, Beijing, People’s Republic of China
Email:
zhleigo@yahoo.com.cn
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11084-0
PII:
S 0002-9939(2011)11084-0
Received by editor(s):
May 26, 2010
Received by editor(s) in revised form:
January 23, 2011
Posted:
September 7, 2011
Additional Notes:
The first author was supported by NSFC-10901111 and KM-210100028003
The second author was supported by NSFC-09221010056
Communicated by:
Michael Wolf
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.