On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with b⁺=1

2008/10/14 by Ishida, Masashi, Rasdeaconu, Rares, Suvaina, Ioana
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.2465

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 CP² # l \mathbb CP², where 5 ≤ l ≤ 8.

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