On the Weil-Petersson Geometry of Calabi-Yau Moduli

Details On the Weil-Petersson Geometry of Calabi-Yau Moduli On the Weil-Petersson Geometry of Calabi-Yau Moduli

2005-09-07

arxiv.org/abs/math/0509172v1

Mathematics

Differential Geometry

Scientific paper

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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