Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds
W. Kramer, U. Semmelmann, G. Weingart
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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