Holomorphic Sectional Curvature of Complex Finsler Manifolds

被引：0
|
作者：
Xueyuan Wan
机构：
[1] Chalmers University of Technology,Department of Mathematical Sciences
来源：
The Journal of Geometric Analysis | 2019年 / 29卷
关键词：
Holomorphic sectional curvature; Complex Finsler manifolds; Schwarz Lemma; Kodaira dimension; 53C60; 53C55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition.
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页码：194 / 216
页数：22
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