1 citations · 1 across the 2 of their papers we have counts for
4 papers
Continuous Families of Isophasal Scattering Manifolds
Carolyn Gordon, Peter Perry
We construct continuous families of scattering manifolds with the same scattering phase. The manifolds are compactly supported metric perturbations of Euclidean fo…
Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups
Carolyn S. Gordon, Dorothee Schueth
We construct pairs of conformally equivalent isospectral Riemannian metrics and on spheres and balls for certain dimensions , the smallest of whi…
Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric
Carolyn S. Gordon, Zoltan I. Szabo
To what extent does the eigenvalue spectrum of the Laplace-Beltrami operator on a compact Riemannian manifold determine the geometry of the manifold? We give examples of isospectra…
New homogeneous Einstein metrics of negative Ricci curvature
Carolyn S. Gordon, Megan M. Kerr
We construct new homogeneous Einstein spaces with negative Ricci curvature in two ways: First, we give a method for classifying and constructing a class of rank one Einstein solvma…