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• W2068555488 abstract "In a previous paper we proved a lower bound for the spectrum of the Dirac operator on quaternionic Kaehler manifolds. In the present article we show that the only manifolds in the limit case, i.e. the only manifolds where the lower bound is attained as an eigenvalue, are the quaternionic projective spaces. We use the equivalent formulation in terms of the quaternionic Killing equation and show that a nontrivial solution defines a parallel spinor on the associated hyperkaehler manifold." @default.
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• W2068555488 date "1998-12-01" @default.
• W2068555488 modified "2023-10-16" @default.
• W2068555488 title "The First Eigenvalue of the Dirac Operator on Quaternionic Kähler Manifolds" @default.
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• W2068555488 doi "https://doi.org/10.1007/s002200050504" @default.
• W2068555488 hasPublicationYear "1998" @default.
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