4 problems

Let $M$ be a compact complex manifold of real dimension $2n$ with vanishing first Chern class. A hermitian structure on $M$ is a Riemannian metric compatible with its complex struc…

$p$-SKT/$p$-Kähler conjecture.

Gauduchon-to-balanced hyperbolicity conjecture. If $X$ admits a balanced metric $\omega$ which is Gauduchon hyperbolic, then $X$ is balanced hyperbolic.

Let $X$ be a compact Calabi–Yau threefold with holomorphic volume form $\Omega$, and let $\mathfrak{b}_0$ be a balanced class on $X$. Let $V$ be a holomorphic vector bundle over…