2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76288In 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.Differential GeometryAlgebraic Geometry58D27; 14J32text