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Rigidity of Compact Riemannian Spin Manifolds with Boundary

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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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Authors and Affiliations

  1. Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2007, Neuchâtel, Switzerland

    Simon Raulot

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  1. Simon Raulot
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Correspondence to Simon Raulot.

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S. Raulot was supported by the Swiss SNF grant 20-118014/1.

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Raulot, S. Rigidity of Compact Riemannian Spin Manifolds with Boundary. Lett Math Phys 86, 177–192 (2008). https://doi.org/10.1007/s11005-008-0277-0

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  • DOI: https://doi.org/10.1007/s11005-008-0277-0

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