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Spectral bounds for Dirac operators on open manifolds

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Abstract

We extend several classical eigenvalue estimates for Dirac operators on compact manifolds to noncompact, even incomplete manifolds. This includes Friedrich’s estimate for manifolds with positive scalar curvature as well as the author’s estimate on surfaces.

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Authors and Affiliations

  1. Universität Potsdam, Institut für Mathematik, Am Neuen Palais 10, Haus 8, 14469, Potsdam, Germany

    Christian Bär

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  1. Christian Bär
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Correspondence to Christian Bär.

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Bär, C. Spectral bounds for Dirac operators on open manifolds. Ann Glob Anal Geom 36, 67–79 (2009). https://doi.org/10.1007/s10455-008-9149-1

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  • DOI: https://doi.org/10.1007/s10455-008-9149-1

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