2 problems

Let $M_{p,q}=\mathbf S^p\times\mathbf S^q\times[-1,1]$ be a Clifford band, and let $g$ be a smooth metric on $M_{p,q}$. Clifford-band width conjecture. If … then … This is a propos…

Let $M=T^2\times[-1,1]$ and let $g$ be a smooth metric on $M$. Gromov's conjecture. If … then … This is a proposed sharp width estimate for bands with positive sectional curvature,…