18 citations · 25 across the 11 of their papers we have counts for
7 papers · 1 filter
Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature
Haojie Chen, Xiaolan Nie
Motivated by a recent work of Chen-Zheng [8] on Strominger space forms, we prove that a compact Hermitian surface with pointwise constant holomorphic sectional curvature with respe…
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…
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…
Kodaira dimensions of almost complex manifolds II
Haojie Chen, Weiyi Zhang
This is the second of a series of papers where we study the plurigenera, the Kodaira dimension and the Iitaka dimension on compact almost complex manifolds. By using the pseudoholo…
Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics
Haojie Chen, Lingling Chen, Xiaolan Nie
We present some formulae related to the Chern-Ricci curvatures and scalar curvatures of special Hermitian metrics. We prove that a compact locally conformal Kähler manifold with co…
Kodaira dimensions of almost complex manifolds I
Haojie Chen, Weiyi Zhang
This is the first of a series of papers, in which we study the plurigenera, the Kodaira dimension and more generally the Iitaka dimension on compact almost complex manifolds. Based…
Odd type generalized complex structures on 4-manifolds
Haojie Chen, Xiaolan Nie
We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. Consequently, there exist…