The canonical-connection Ambrose–Singer conjecture
Let (Mn,g)(M^n,g)(Mn,g) be a compact Hermitian manifold. For real numbers ttt and sss, let ∇(t)=(1−t2)∇+t2∇b\nabla^{(t)}=(1-\frac{t}{2})\nabla+\frac{t}{2}\nabla^b∇(t)=(1−2t)∇+2t∇b be the ttt-Gauduchon connection, and defin…