1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DG2022
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…
math.AP2021★ 1 cited
Second order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds
Bo Guan, Xiaolan Nie
We derive a priori second order estimates for fully nonlinear elliptic equations which depend on the gradients of solutions in critical ways on Hermitian manifolds. The global esti…
math.DG2019★ 1 cited
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…