Balanced metrics on non-Kahler Calabi-Yau threefolds

Jixiang Fu; Jun Li; Shing-Tung Yau

Balanced metrics on non-Kahler Calabi-Yau threefolds

Differential Geometry 2012-03-15 v2 High Energy Physics - Theory

Authors: Jixiang Fu , Jun Li , Shing-Tung Yau

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 $S^3\times S^3$ .

Keywords

calabi-yau manifold kähler metrics li-yau estimates and curvature

Cite

@article{arxiv.0809.4748,
  title  = {Balanced metrics on non-Kahler Calabi-Yau threefolds},
  author = {Jixiang Fu and Jun Li and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:0809.4748},
  year   = {2012}
}

Comments

Title changed, introduction rewritten and details of the proof of Lemma 4.2 added

Balanced metrics on non-Kahler Calabi-Yau threefolds

Abstract

Keywords

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