Rigidity of compact Riemannian spin Manifolds with Boundary
arXiv:0803.3108 · doi:10.1007/s11005-008-0277-0
Abstract
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