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Segment inequality and almost rigidity structures for integral Ricci curvature

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 نشر من قبل Lina Chen
 تاريخ النشر 2020
  مجال البحث
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 تأليف Lina Chen




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We will show the Cheeger-Colding segment inequality for manifolds with integral Ricci curvature bound. By using this segment inequality, the almost rigidity structure results for integral Ricci curvature will be derived by a similar method as in cite{CC1}. And the sharp Holder continuity result of cite{CoN} holds in the limit space of manifolds with integral Ricci curvature bound.


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