Extrinsic eigenvalue estimates of the Dirac operator

Daguang Chen

Extrinsic eigenvalue estimates of the Dirac operator

微分几何 2007-05-23 v1

作者: Daguang Chen

摘要

For a compact spin manifold $M$ isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues.

关键词

dirac operators magnetic schrödinger operator laplacian eigenvalues

引用

@article{arxiv.math/0701847,
  title  = {Extrinsic eigenvalue estimates of the Dirac operator},
  author = {Daguang Chen},
  journal= {arXiv preprint arXiv:math/0701847},
  year   = {2007}
}

备注

12pages,submitted to "Math.Z.", Jun 2006

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