Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds

Bernd Ammann, Emmanuel Humbert, Bertrand Morel

Let M be a compact manifold equipped with a Riemannian metric g and a spin structure \si. We let $λ(M,[g],\si)= \inf_{\tilde{g} \in [g]} λ_1^+(\tilde{g}) Vol(M,\tilde{g})^{1/n}$ wh…