Schwarz Type Lemmas for Pseudo-Hermitian Manifolds
Schwarz Type Lemmas for Pseudo-Hermitian Manifolds
复制标题
伪厄米流形的 Schwarz 型引理
DOI：
10.1007/s12220-020-00389-z
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发表时间：
2021
影响因子：
1.1
通讯作者：
Yu Weike
中科院分区：
文献类型：
--
作者：
Dong Yuxin;Ren Yibin;Yu Weike
本文考虑伪Hermite流形之间的广义全纯映射。这些映射包括CR映射和横截全纯映射。利用某些次Laplacian或Hessian型Bochner公式，以及伪Hermitian形式的比较定理，我们能够建立伪Hermitian流形之间的CR映射和横截全纯映射的几个施瓦茨型结果. 最后，我们还讨论了伪Hermite流形的CR双曲性问题。
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds. These maps include theCRmaps and the transversally holomorphic maps. In terms of some sub-Laplacian or Hessian type Bochner formulas, and comparison theorems in the pseudo-Hermitian version, we are able to establish several Schwarz type results for both theCRmaps and the transversally holomorphic maps between pseudo-Hermitian manifolds. Finally, we also discuss theCRhyperbolicity problem for pseudo-Hermitian manifolds.