3 problems

Donald's conjecture. For any $k\geqslant 0$, one can bound $\|\tilde{\omega}\|_{C^k(M,g)}$ by a constant depending only on $k$ and on bounds for $\sigma$, $\omega$, and $(M,J)$, wh…

Let $(M,g,J,\omega)$ be a closed almost Kähler manifold of real dimension $2n$. Define … and … If $F$ is defined by $F(\phi)\omega^n=(\omega(\phi))^n$, then Delanoë's result gives…

Donald's conjecture. Yau's theorem can be extended to the case of general symplectic four-manifolds with compatible almost complex structures, at least when $b^+(M)=1$.