Weil-Petersson geometry on moduli space of polarized Calabi-Yau manifolds

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dc.creatorLu, Zhiqin
dc.creatorSun, Xiaofeng
dc.date2005-10-02
dc.date.accessioned2026-07-07T06:20:50Z
dc.date.available2026-07-07T06:20:50Z
dc.descriptionIn this paper, we define and study the Weil-Petersson geometry. Under the framework of the Weil-Petersson geometry, we study the Weil-Petersson metric and the Hodge metric. Among the other results, we represent the Hodge metric in terms of the Weil-Petersson metric and the Ricci curvature of the Weil-Petersson metric for Calabi-Yau fourfold moduli. We also prove that the Hodge volume of the moduli space is finite. Finally, we proved that the curvature of the Hodge metric is bounded if the Hodge metric is complete and the dimension of the moduli space is 1.
dc.descriptionLaTeX
dc.identifierhttps://arxiv.org/abs/math/0510020
dc.identifierhttp://arxiv.org/abs/math/0510020
dc.identifierJournal of the Inst. of Math. Jussieu (2004) 3(2), 185-229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95426
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleWeil-Petersson geometry on moduli space of polarized Calabi-Yau manifolds
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