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Rigidity of positively curved shrinking Ricci solitons in dimension four

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 نشر من قبل Giovanni Catino
 تاريخ النشر 2018
  مجال البحث
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 تأليف Giovanni Catino




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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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