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Upper eigenvalue estimates for Dirac operators

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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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Bär, C. Upper eigenvalue estimates for Dirac operators. Ann Glob Anal Geom 10, 171–177 (1992). https://doi.org/10.1007/BF00130918

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  • DOI: https://doi.org/10.1007/BF00130918

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