Guang-Zhen Ren

Non-Hermitian Yang--Mills Connections with Vanishing Chern Classes

We construct non-flat non-Hermitian Yang--Mills connections with zero Einstein constant on smoothly trivial rank-two bundles over compact K\"ahler surfaces, with positive harmonic metrics and stable induced and adjoint holomorphic bundles. Thus vanishing Chern classes do not force flatness even under stability on both...