Schwarz-type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds

被引：5

作者：

Chong, Tian ^{[1
]}

Dong, Yuxin ^{[2
]}

Ren, Yibin ^{[3
]}

Yu, Weike ^{[2
]}

机构：

[1] Shanghai Polytech Univ, Coll Arts & Sci, Sch Sci, 2360 Jin Hai Rd, Shanghai 201209, Peoples R China

[2] Fudan Univ, Sch Math Sci, 220 Handan Rd, Shanghai 200433, Peoples R China

[3] Zhejiang Normal Univ, Coll Math & Comp Sci, 688 Yingbin Rd, Jinhua 321004, Zhejiang, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 01期

关键词：

53C25 (primary); 32V20 (secondary);

D O I：

10.1112/blms.12394

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Caratheodory pseudo-distance on CR manifolds.

引用

页码：26 / 41

页数：16

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