Spectral Analysis of Magnetic Laplacians on Conformally Cusp Manifolds

@inproceedings{Golnia2007SpectralAO,
  title={Spectral Analysis of Magnetic Laplacians on Conformally Cusp Manifolds},
  author={Sylvain Gol{\'e}nia and Sergiu Moroianu},
  year={2007}
}
We consider an open manifold which is the interior of a compact manifold with boundary. Assuming gauge invariance, we classify magnetic fields with compact support into being trapping or non-trapping. We study spectral properties of the associated magnetic Laplacian for a class of Riemannian metrics which includes complete hyperbolic metrics of finite… CONTINUE READING