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On the Curvature Tensor of the Hodge Metric of Moduli Space of Polarized Calabi-Yau Threefolds

Zhiqin Lu
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Abstract

In this paper, we give an expression and some estimates of the curvature tensor of the Hodge metric over the moduli space of a polarized Calabi-Yau threefold. The symmetricity of the Yukawa coupling is also studied. In the last section of this paper, an extra restriction of the limiting Hodge structure for the degeneration of Calabi-Yau threefolds is given.

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Zhiqin Lu. 2005-06-02. On the Curvature Tensor of the Hodge Metric of Moduli Space of Polarized Calabi-Yau Threefolds. https://arxiv.org/abs/math/0505583

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