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Weyl laws on open manifolds

Differential Geometry 2014-02-12 v1 Analysis of PDEs

Abstract

Under suitable invertibility hypothesis, the spectrum of the Dirac operator on certain open spin Riemannian manifolds is discrete, and obeys a growth law depending qualitatively on the (in)finiteness of the volume.

Keywords

Cite

@article{arxiv.math/0310075,
  title  = {Weyl laws on open manifolds},
  author = {Sergiu Moroianu},
  journal= {arXiv preprint arXiv:math/0310075},
  year   = {2014}
}

Comments

24 pages