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Prescribing eigenvalues of the Dirac operator

微分几何 2011-07-21 v3

摘要

In this note we show that every compact spin manifold of dimension 3\geq 3 can be given a Riemannian metric for which a finite part of the spectrum of the Dirac operator consists of arbitrarily prescribed eigenvalues with multiplicity 1.

关键词

引用

@article{arxiv.math/0311172,
  title  = {Prescribing eigenvalues of the Dirac operator},
  author = {Mattias Dahl},
  journal= {arXiv preprint arXiv:math/0311172},
  year   = {2011}
}

备注

To appear in Manuscripta Mathematica