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arxiv: 0803.3108 · v3 · submitted 2008-03-21 · 🧮 math.DG

Rigidity of compact Riemannian spin Manifolds with Boundary

classification 🧮 math.DG
keywords boundarycitecompactmanifoldsriemannianrigidityschroederspin
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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}.

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