3 citations · 10 across the 17 of their papers we have counts for
5 papers · 2 filters
Chern flat manifolds that are torsion-critical
Dongmei Zhang, Fangyang Zheng
In our previous work, we introduced a special type of Hermitian metrics called {\em torsion-critical,} which are non-Kähler critical points of the -norm of Chern torsion over…
Streets-Tian Conjecture holds for 2-step solvmanifolds
Shuwen Chen, Fangyang Zheng
A Hermitian-symplectic metric is a Hermitian metric whose Kähler form is given by the -part of a closed -form. Streets-Tian Conjecture states that a compact complex manif…
Streets-Tian Conjecture on several special types of Hermitian manifolds
Yuqin Guo, Fangyang Zheng
A Hermitian-symplectic metric is a Hermitian metric whose Kähler form is given by the -part of a closed -form. Streets-Tian Conjecture states that a compact complex manif…
Curvature characterization of Hermitian manifolds with Bismut parallel torsion
Quanting Zhao, Fangyang Zheng
In this article, we study Hermitian manifolds whose Bismut connection has parallel torsion, which will be called {\em Bismut torsion parallel manifolds,} or {\em BTP} manifolds for…
Bismut torsion parallel metrics with constant holomorphic sectional curvature
Shuwen Chen, Fangyang Zheng
An old conjecture in non-Kähler geometry states that, if a compact Hermitian manifold has constant holomorphic sectional curvature, then the metric must be Kähler (when the constan…