A UNIQUENESS THEOREM FOR HOLOMORPHIC MAPPINGS IN THE DISK SHARING TOTALLY GEODESIC HYPERSURFACES  

作　　者：Jiaxing HUANG Tuen Wai NG 黄家兴;吴端伟(College of Mathematics and Statistics,Shenzhen University,Shenzhen518060,China;Department of Mathematics,The University of Hong Kong,Pokfulam,Hong Kong)

机构地区：[1]College of Mathematics and Statistics,Shenzhen University,Shenzhen518060,China [2]Department of Mathematics,The University of Hong Kong,Pokfulam,Hong Kong

出　　处：《Acta Mathematica Scientia》2022年第4期1631-1644,共14页数学物理学报（B辑英文版）

基　　金：partially supported by a graduate studentship of HKU,the RGC grant(1731115);the National Natural Science Foundation of China(11701382);partially supported by the RGC grant(1731115 and 17307420)。

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 P^(k).This is a generalization of Cartan’s Second Main Theorem.As a consequence,we establish a uniqueness theorem for holomorphic mappings which intersect O(k^(3)) many totally geodesic hypersurfaces.

关 键 词：Second Main Theorem meromorphic connection totally geodesic hypersurfaces uniqueness theorem 

分 类 号：O174.52[理学—数学]