Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
Differential Geometry
2020-07-29 v1 Complex Variables
Abstract
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 Carath\'eodory pseudodistance on CR manifolds.
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Cite
@article{arxiv.2002.04505,
title = {Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds},
author = {Tian Chong and Yuxin Dong and Yibin Ren and Weike Yu},
journal= {arXiv preprint arXiv:2002.04505},
year = {2020}
}
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16 pages