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Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

dg-ga 2008-02-03 v1 微分几何

摘要

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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引用

@article{arxiv.dg-ga/9703021,
  title  = {Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds},
  author = {W. Kramer and U. Semmelmann and G. Weingart},
  journal= {arXiv preprint arXiv:dg-ga/9703021},
  year   = {2008}
}

备注

22 pages, LaTeX2e, fullpage style