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Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

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Abstract

In the case of a Kähler–Einstein manifold of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given. It is shown by a general construction that there are manifolds for which this new lower bound itself is the first eigenvalue.

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  1. Institute of Mathematics, Humboldt-Universität zu Berlin, Rudower Chaussee 25, Berlin, 10099, Germany

    K.-D. Kirchberg

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  1. K.-D. Kirchberg
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Correspondence to K.-D. Kirchberg.

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Kirchberg, KD. Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension. Ann Glob Anal Geom 38, 273–284 (2010). https://doi.org/10.1007/s10455-010-9212-6

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  • DOI: https://doi.org/10.1007/s10455-010-9212-6

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