论文标题

Schwarz型引理,用于伪 - 温米特歧管和赫尔米利亚流形之间的概括性尸体形态图

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

论文作者

Chong, Tian, Dong, Yuxin, Ren, Yibin, Yu, Weike

论文摘要

在本文中,我们考虑了伪 - 温米特的歧管和赫尔米尼亚歧管之间的一些广义霍明态图。通过Bochner公式和比较定理,我们建立了相关的Schwarz类型结果。作为推论,推导了基本CR功能的Liouville定理和Little Picard定理。最后,我们研究了Cr歧管上的Crcarathéodory伪主义。

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, Liouville theorem and little Picard theorem for basic CR functions are deduced. Finally, we study CR Carathéodory pseudodistance on CR manifolds.

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