Balanced metrics on non-Khler Calabi-Yau threefolds

Jixiang Fu Jun Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43523

Journal of Differential Geometry, 90, (1), 81-129, 2012
We construct balanced metrics on the family of non-Khler Calabi-Yau threefolds that are obtained by smoothing after contracting ( 1, 1) -rational curves on a Khler Calabi-Yau threefold. As an application, we construct balanced metrics on complex manifolds diffeomorphic to the connected sum of ( 1, 1) copies of ( 1, 1) .
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  title={Balanced metrics on non-Khler Calabi-Yau threefolds},
  author={Jixiang Fu, Jun Li, and Shing-Tung Yau},
  booktitle={Journal of Differential Geometry},
Jixiang Fu, Jun Li, and Shing-Tung Yau. Balanced metrics on non-Khler Calabi-Yau threefolds. 2012. Vol. 90. In Journal of Differential Geometry. pp.81-129.
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