English

Prescribing eigenvalues of the Dirac operator

Differential Geometry 2011-07-21 v3

Abstract

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.

Keywords

Cite

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

Comments

To appear in Manuscripta Mathematica