On the Weil-Petersson Geometry of Calabi-Yau Moduli
Differential Geometry
2007-05-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0509172,
title = {On the Weil-Petersson Geometry of Calabi-Yau Moduli},
author = {Zhiqin Lu and Eisuke Natsukawa},
journal= {arXiv preprint arXiv:math/0509172},
year = {2007}
}