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Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

W. Kramer·U. Semmelmann·G. Weingart
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Abstract

We consider the Dirac operator on compact quaternionic Kaehler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the quaternionic projective space.

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W. Kramer, U. Semmelmann, G. Weingart. 1997-03-27. Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds. https://arxiv.org/abs/dg-ga/9703021

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