Schwarz-type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
Schwarz-type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
复制标题
伪埃尔米特流形和埃尔米特流形之间广义全纯映射的施瓦茨型引理
DOI：
10.1112/blms.12394
复制
发表时间：
2021
影响因子：
0.9
通讯作者：
Yu Weike
中科院分区：
文献类型：
--
作者：
Chong Tian;Dong Yuxin;Ren Yibin;Yu Weike
In this paper, we consider some generalized holomorphic maps between pseudo‐Hermitian manifolds and Hermitian manifolds. By Bochner formulas and comparison theorems, we establish related Schwarz‐type results. As corollaries, the Liouville theorem and little Picard theorem for basic CR functions are deduced. Finally, we study CR Carathéodory pseudo‐distance on CR manifolds.
