A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces

被引：0

作者：

Jiaxing Huang

Tuen Wai Ng

机构：

[1] Shenzhen University,College of Mathematics and Statistics

[2] The University of Hong Kong,Department of Mathematics

来源：

Acta Mathematica Scientia | 2022年 / 42卷

关键词：

Second Main Theorem; meromorphic connection; totally geodesic hypersurfaces; uniqueness theorem; 32H30; 32A22; 30D35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space ℙk. This is a generalization of Cartan’s Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect O(k3) many totally geodesic hypersurfaces.

引用

页码：1631 / 1644

页数：13