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arXiv · 2002.04505

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

Tian Chong·Yuxin Dong·Yibin Ren·Weike Yu
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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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Tian Chong, Yuxin Dong, Yibin Ren, Weike Yu. 2020-02-11. Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds. https://doi.org/10.1112/blms.12394

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