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Spectral bounds for Dirac operators on open manifolds |
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| Authors: | Christian Bär |
| Institution: | 1.Universit?t Potsdam, Institut für Mathematik,Potsdam,Germany |
| 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. |
| Keywords: | Dirac operators Point spectrum Continuous spectrum Discrete spectrum Essential spectrum Killing spinor Friedrich inequality Lichnerowicz inequality |
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