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Closed generalized Einstein manifolds with positive isotropic curvature

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 نشر من قبل Gabjin Yun Mr
 تاريخ النشر 2021
  مجال البحث
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In this paper, we show that a closed $n$-dimensional generalized ($lambda, n+m)$-Einstein manifold with positive isotropic curvature and constant scalar curvature must be isometric to either a sphere ${Bbb S}^n$, or a product ${Bbb S}^{1} times {Bbb S}^{n-1}$ of a circle with an $(n-1)$-sphere, up to finite cover and rescaling.



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