4 problems

Let $M$ be a flag manifold with an almost-complex structure $J$ and a quasi-Kähler metric $\lambda$ whose curvature is Griffiths semi-positive. Let $(M_i,g_i)$ denote Hermitian sym…

Let $(M,J, omega)$ be a compact almost-Kähler manifold, where $J$ is an almost-complex structure and $omega$ is its fundamental $2$-form. Let $sigma$ be a smooth volume form on…

A quasi-Kähler flag manifold is a flag manifold equipped with a non-integrable almost-complex structure and a quasi-Kähler metric. Nonexistence conjecture. No quasi-Kähler flag man…

Lower-order Q-curvature conjecture. One should have