Abstract.
We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with b + = 1. By using this obstruction, we study the relationship between the existence or non-existence of non-singular solutions of the normalized Ricci flow and exotic smooth structures on the topological 4-manifolds \(\mathbb{C}P^{2} {\# \ell}{\overline{{\mathbb{C}}P^2}}\), where \(5 \leq \ell \leq 8\).
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Received: 13 November 2008
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Ishida, M., Răsdeaconu, R. & Şuvaina, I. On normalized Ricci flow and smooth structures on four-manifolds with b + = 1. Arch. Math. 92, 355–365 (2009). https://doi.org/10.1007/s00013-009-3098-1
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DOI: https://doi.org/10.1007/s00013-009-3098-1