Curvature effect in the spinorial Yamabe problem on product manifolds

Thomas Bartsch, Tian Xu

Let $(M_1,{\text{g}}^{(1)})$, $(M_2,{\text{g}}^{(2)})$ be closed Riemannian spin manifolds. We study the existence of solutions of the spinorial Yamabe problem on the product $M_1\…