Canonical metric connections with constant holomorphic sectional curvature
arXiv:2501.03032
Abstract
We consider the conjecture of Chen and Nie concerning the space forms for canonical metric connections of compact Hermitian manifolds. We verify the conjecture for two special types of Hermitian manifolds: complex nilmanifolds with nilpotent , and non-balanced Bismut torsion-parallel manifolds.
15 pages