TY - JOUR
T1 - Continuous families of isophasal scattering manifolds
AU - Gordon, Carolyn
AU - Perry, Peter
PY - 2006/7
Y1 - 2006/7
N2 - 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.
AB - 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.
KW - Geometric scattering
KW - Isophasal manifold
KW - Scattering manifold
UR - http://www.scopus.com/inward/record.url?scp=33748930421&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33748930421&partnerID=8YFLogxK
U2 - 10.4310/MRL.2006.v13.n4.a12
DO - 10.4310/MRL.2006.v13.n4.a12
M3 - Article
AN - SCOPUS:33748930421
SN - 1073-2780
VL - 13
SP - 631
EP - 651
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 4
ER -