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On the Weil-Petersson Geometry of Calabi-Yau Moduli

Zhiqin Lu·Eisuke Natsukawa
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Abstract

In this paper we proved that the Weil-Petersson volume of the Chern class of any order over the moduli space of Calabi-Yau manifolds is a rational number. We also found the necessary and sufficient condition of the incompleteness of Weil-Petersson metric in several variables case.

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Zhiqin Lu, Eisuke Natsukawa. 2005-09-07. On the Weil-Petersson Geometry of Calabi-Yau Moduli. https://arxiv.org/abs/math/0509172

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