Prescribing Ricci curvature on a Product of Spheres

Timothy Buttsworth, Anusha M. Krishnan

We prove an existence result for the prescribed Ricci curvature equation for certain doubly warped product metrics on ${\mathbb{S}}^{d_1+1}\times {\mathbb{S}}^{d_2}$, where $d_i \geq 2…