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math.DG2021
Liouville Theorems for holomorphic maps on pseudo-Hermitian manifolds
Haojie Chen, Yibin Ren
We prove some Liouville type results for generalized holomorphic maps in three classes: maps from pseudo-Hermitian manifolds to almost Hermitian manifolds, maps from almost Hermiti…
math.DG2021★ 1 cited
Schwarz lemma: the case of equality and an extension
Haojie Chen, Xiaolan Nie
We prove two results related to the Schwarz lemma in complex geometry. First, we show that if the inequality in the Schwarz lemmata of Yau, Royden and Tosatti becomes equality at o…