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

Mathematics – Differential Geometry

Scientific paper

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We corrected a typo error in the title and corrected the Journal-ref

Scientific paper

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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