2 problems

Hydrodynamical Weinstein conjecture. Every smooth rotational Beltrami flow on a Riemannian three-manifold has a closed orbit.

Let $V_\ell$ denote the eigenspace indexed by $\ell$ in the Zeitlin model on $SU(N)$, and let $\widetilde{r}_\ell(N)$ be the averaged Ricci curvature in that eigenspace. Eventual n…