On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$
Differential Geometry
2008-10-15 v1
Abstract
We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with . 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 # l \overline{{\mathbb C}{P}^2}, where .
Keywords
Cite
@article{arxiv.0810.2465,
title = {On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$},
author = {Masashi Ishida and Rares Rasdeaconu and Ioana Suvaina},
journal= {arXiv preprint arXiv:0810.2465},
year = {2008}
}