AUGMENTED WEIL-PETERSSON METRICS ON MODULI SPACES OF POLARIZED RICCI-FLAT KAHLER MANIFOLDS AND ORBIFOLDS

被引：6
|
作者：
To, Wing-Keung [1 ]
Yeung, Sai-Kee [2 ]
机构：
[1] Natl Univ Singapore, Dept Math, Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore
[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
ASIAN JOURNAL OF MATHEMATICS | 2018年 / 22卷 / 04期
基金：
美国国家科学基金会;
关键词：
Augmented Weil-Petersson metric; moduli space; Ricci-flat kahler manifolds; Kahler orbifolds; GEOMETRY; HYPERBOLICITY;
D O I：
10.4310/AJM.2018.v22.n4.a6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the base complex manifold of an effectively parametrized family of compact polarized Ricci-flat KAhler orbifolds, and in particular manifolds, admits a smooth augmented Weil-Petersson metric whose holomorphic sectional curvature is bounded above by a negative constant. As a consequence, we conclude that such base manifold is Kobayashi hyperbolic.
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页码：705 / 727
页数：23
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