Accepted Paper

Inserted: 16 jul 2018
Last Updated: 28 mar 2019

Journal: Geom. Flows
Year: 2018

Abstract:

We classify four-dimensional shrinking Ricci solitons satisfying $Sec \geq \frac{1}{24} R$, where $Sec$ and $R$ denote the sectional and the scalar curvature, respectively. They are isometric to either $\mathbb{R}^{4}$ (and quotients), $\mathbb{S}^{4}$, $\mathbb{RP}^{4}$ or $\mathbb{CP}^{2}$ with their standard metrics.

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• shrinkers_sectional.pdf