2 papers
math.DG2026
Balanced Bismut torsion-parallel manifold with constant holomorphic sectional curvature
Qingsong Wang, Fangyang Zheng
A long-lasting conjecture in non-Kähler geometry says that any compact Hermitian manifold with constant holomorphic sectional curvature must be either Kähler or Chern flat. The con…
math.DG2026
Orthogonal complex structures on flat tori
Qingsong Wang, Shing-Tung Yau, Fangyang Zheng
We classify compact Hermitian manifolds with flat Levi-Civita connection. This is equivalent to the classification of all orthogonal complex structures on flat tori. It generalized…