On fill-ins with scalar curvature bounded from below and an inequality of Hijazi-Montiel-Roldán

Simon Brendle, Raphael Tsiamis, Yipeng Wang

We consider fill-ins of spin manifolds with scalar curvature bounded by $-n(n-1)$. Gromov proposed a conjecture relating the infimum of the mean curvature of such a fill-in to the…