On the Bär-Hijazi-Lott invariant for the Dirac operator and a spinorial proof of the Yamabe problem

Yannick Sire, Tian Xu

Let $M$ be a closed spin manifold of dimension $m\ge 6$ equipped with a Riemannian metric $\ig$ and a spin structure $\sa$. Let $\lm_1^+(\tilde\ig)$ be the smallest positive eigenv…