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Upper eigenvalue estimates for Dirac operators
Authors:Christian Bär
Affiliation:(1) Mathematisches Institut der Universität Bonn, Meckenheimer Allee 160, W-5300 Bonn 1, Germany
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.
Keywords:Generalized Dirac operators  upper eigenvalue bounds  spectral geometry
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