2 problems

Strongly Gauduchon conjecture. The manifold $M$ does not admit any strongly Gauduchon metric. The claim extends the known obstruction for compact non-Kähler BKL manifolds; the sour…

Let $X$ be a compact complex manifold in class $\mathcal C$, meaning that $X$ is bimeromorphic to a compact Kähler manifold. A Gauduchon metric is a Hermitian metric whose associat…