Continuous families of isophasal scattering manifolds

Carolyn Gordon, Peter Perry

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We construct continuous families of Riemannian metrics on Rn for n ≥ 8 with the same scattering phase and resonances. The metrics are compactly supported perturbations, with arbitrarily small support, of the Euclidean metric and have infinitely many scattering resonances.

Original languageEnglish
Pages (from-to)631-651
Number of pages21
JournalMathematical Research Letters
Volume13
Issue number4
DOIs
StatePublished - Jul 2006

Keywords

  • Geometric scattering
  • Isophasal manifold
  • Scattering manifold

ASJC Scopus subject areas

  • General Mathematics

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