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Balanced metrics on non-Kahler Calabi-Yau threefolds

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 نشر من قبل Jixiang Fu
 تاريخ النشر 2012
  مجال البحث
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We construct balanced metrics on the family of non-Kahler Calabi-Yau threefolds that are obtained by smoothing after contracting $(-1,-1)$-rational curves on Kahler Calabi-Yau threefold. As an application, we construct balanced metrics on complex manifolds diffeomorphic to connected sum of $kgeq 2$ copies of $S^3times S^3$.

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