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arxiv: 0809.4748 · v2 · pith:FTIZZ2P7new · submitted 2008-09-27 · 🧮 math.DG · hep-th

Balanced metrics on non-Kahler Calabi-Yau threefolds

classification 🧮 math.DG hep-th
keywords balancedcalabi-yaumetricsahlerconstructthreefoldsapplicationcomplex
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We construct balanced metrics on the family of non-K\"ahler Calabi-Yau threefolds that are obtained by smoothing after contracting $(-1,-1)$-rational curves on K\"ahler Calabi-Yau threefold. As an application, we construct balanced metrics on complex manifolds diffeomorphic to connected sum of $k\geq 2$ copies of $S^3\times S^3$.

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