The spectrum of the Laplacian on forms.

@article{Charalambous2016TheSO,
  title={The spectrum of the Laplacian on forms.},
  author={Nelia Charalambous and Zhiqin Lu},
  journal={arXiv: Differential Geometry},
  year={2016}
}
In this article we prove a generalization of Weyl's criterion for the spectrum of a self-adjoint nonnegative operator on a Hilbert space. We will apply this new criterion in combination with Cheeger-Fukaya-Gromov and Cheeger-Colding theory to study the $k$-form essential spectrum over a complete manifold with vanishing curvature at infinity or asymptotically nonnegative Ricci curvature. In addition, we will apply the generalized Weyl criterion to study the variation of the spectrum of a self… 
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2 Citations

2 Citations

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