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Balanced metrics on non-Kahler Calabi-Yau threefolds

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arxiv 0809.4748 v2 pith:FTIZZ2P7 submitted 2008-09-27 math.DG hep-th

Jixiang Fu , Jun Li , Shing-Tung Yau This is my paper · ORCID
classification math.DGhep-th
keywords balancedcalabi-yaumetricsahlerconstructthreefoldsapplicationcomplex
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abstract

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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  1. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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