2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222589In this article, we prove new rigidity results for compact Riemannian spin manifolds with boundary whose scalar curvature is bounded from below by a non-positive constant. In particular, we obtain generalizations of a result of Hang-Wang \cite{hangwang1} based on a conjecture of Schroeder and Strake \cite{schroeder}.English version of "Géométrie spinorielle extrinsèque et rigidités", Corollary 6 in Section 3 added, to appear in Letters Math. PhysDifferential Geometry53C27, 53C40, 53C80, 58G20text