English

Survey on eigenvalues of the Dirac operator and geometric structures

Differential Geometry 2007-11-12 v1

Abstract

We give a survey of results relating the restricted holonomy of a Riemannian spin manifold with lower bounds on the spectrum of its Dirac operator, giving a new proof of a result originally due to Kirchberg.

Keywords

Cite

@article{arxiv.0706.0883,
  title  = {Survey on eigenvalues of the Dirac operator and geometric structures},
  author = {Marcos Jardim and Rafael F. Leao},
  journal= {arXiv preprint arXiv:0706.0883},
  year   = {2007}
}
R2 v1 2026-06-21T08:35:57.591Z