Balanced Bismut torsion-parallel manifold with constant holomorphic sectional curvature
A long-lasting conjecture in non-K\"ahler geometry says that any compact Hermitian manifold with constant holomorphic sectional curvature must be either K\"ahler or Chern flat. The conjecture is known to be true in dimension 2 but remains open in dimensions 3 or higher, except in several special cases. In this article...