Positive ${\mathrm{Ric}}_2$ curvature on products of spheres and their quotients via intermediate fatness

Jason DeVito, Miguel Domínguez-Vázquez, David González-Álvaro +1

We construct metrics of positive $2^{\mathrm{nd}}$ intermediate Ricci curvature, ${\mathrm{Ric}}_2>0$, on closed manifolds of dimensions 10, 11, 12, 13 and 14, including $\mathbb{S}^6\tim…