2 problems

Let $S$ be a Sasaki–Einstein manifold. Cheeger–Tian's conjecture. The manifold $S$ is quasi-regular. The conjecture was refuted by irregular Sasaki–Einstein examples constructed la…

Let $S$ be a Sasaki manifold, let $a(S)$ be its normalized volume, and let the rank of $S$ be the dimension of the closure of a generic Reeb orbit. Martelli–Sparks–Yau's conjecture…