Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

Details Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

1997-03-27

arxiv.org/abs/dg-ga/9703021v1

Mathematics

Differential Geometry

22 pages, LaTeX2e, fullpage style

Scientific paper

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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