18 citations · 19 across the 4 of their papers we have counts for
5 papers
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…
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…