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Geometric formality and non-negative scalar curvature

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 نشر من قبل D. Kotschick
 تاريخ النشر 2012
  مجال البحث
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 تأليف D. Kotschick




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We classify manifolds of small dimension that admit both, a Riemannian metric of non-negative scalar curvature, and a -- a priori different -- metric for which all wedge products of harmonic forms are harmonic. For manifolds whose first Betti numbers are sufficiently large, this classification extends to higher dimensions.



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