Rigidity of Compact Riemannian Spin Manifolds with Boundary |
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Authors: | Simon Raulot |
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Institution: | 1. Institut de Mathématiques, Université de Neuchatel, Rue Emile-Argand 11, 2007, Neuchatel, Switzerland
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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 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). |
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