English

Scattering theory and deformations of asymptotically hyperbolic metrics

dg-ga 2007-05-23 v1 Differential Geometry

Abstract

For an asymptotically hyperbolic metric on the interior of a compact manifold with boundary, we prove that the resolvent and scattering operators are continuous functions of the metric in the appropriate topologies.

Keywords

Cite

@article{arxiv.dg-ga/9711016,
  title  = {Scattering theory and deformations of asymptotically hyperbolic metrics},
  author = {David Borthwick},
  journal= {arXiv preprint arXiv:dg-ga/9711016},
  year   = {2007}
}

Comments

21 pages, AMS-LaTeX