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Rigidity of positively curved shrinking Ricci solitons in dimension four. (arXiv:1807.05766v1 [math.DG])

来源于:arXiv
We classify four-dimensional shrinking Ricci solitons satisfying $Sec \geq \frac{1}{48} R$, 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. 查看全文>>