Rigidity of compact Riemannian spin Manifolds with Boundary
Abstract
Description
In 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. Phys
English version of "Géométrie spinorielle extrinsèque et rigidités", Corollary 6 in Section 3 added, to appear in Letters Math. Phys