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Spectral Bounds for Dirac Operators on Open Manifolds

Differential Geometry 2009-07-16 v1 Spectral Theory

Abstract

We extend several classical eigenvalue estimates for Dirac operators on compact manifolds to noncompact, even incomplete manifolds. This includes Friedrich's estimate for manifolds with positive scalar curvature as well as the author's estimate on surfaces.

Keywords

Cite

@article{arxiv.0810.5598,
  title  = {Spectral Bounds for Dirac Operators on Open Manifolds},
  author = {Christian Baer},
  journal= {arXiv preprint arXiv:0810.5598},
  year   = {2009}
}

Comments

pdflatex, 14 pages, 3 figures

R2 v1 2026-06-21T11:36:47.785Z