Upper eigenvalue estimates for Dirac operators |
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Authors: | Christian Bär |
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Affiliation: | (1) Mathematisches Institut der Universität Bonn, Meckenheimer Allee 160, W-5300 Bonn 1, Germany |
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Abstract: | We derive upper eigenvalue estimates for generalized Dirac operators on closed Riemannian manifolds. In the case of the classical Dirac operator the estimates on the first eigenvalues are sharp for spheres of constant curvature. |
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Keywords: | Generalized Dirac operators upper eigenvalue bounds spectral geometry |
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