Rigidity of Compact Riemannian Spin Manifolds with Boundary

摘要

In this article, we prove new rigidity results for compact Riemannian spin manifolds with boundary whose scalar curvature is bounded from below by a nonpositive constant. In particular, we obtain generalizations of a result of Hang–Wang (Pac J Math 232(2):283–288, 2007) based on a conjecture of Schroeder and Strake (Comment Math Helv 64:173–186, 1989).