2 problems

Beauville–Bogomolov-type conjecture for Fujiki manifolds. The manifold $X$ should be made up from irreducible $K$-trivial Kähler varieties—namely, tori, Calabi–Yau varieties, or ho…

Let $X$ be a normal compact Kähler space with klt singularities and such that $c_1(X)=0$. After replacing $X$ by a finite quasi-étale cover, suppose that its tangent sheaf has a ho…