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math.DG2026
Balanced Bismut torsion-parallel fourfolds with constant holomorphic sectional curvature
Qingsong Wang, 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…
math.DG2018★ 7 cited
Manifolds with positive orthogonal Ricci curvature
Lei Ni, Qingsong Wang, Fangyang Zheng
In this paper we study the class of compact Kähler manifolds with positive orthogonal Ricci curvature: . First we illustrate examples of Kähler manifolds with $Ric^\pe…
math.DG2016
On Bismut Flat Manifolds
Qingsong Wang, Bo Yang, Fangyang Zheng
In this paper, we give a classification of all compact Hermitian manifolds with flat Bismut connection. We show that the torsion tensor of such a manifold must be parallel, thus th…