4 citations · 8 across the 6 of their papers we have counts for
7 papers
One can't hear orientability of surfaces
Pierre Bérard, David L. Webb
The main result of this paper is that one cannot hear orientability of a surface with boundary. More precisely, we construct two isospectral flat surfaces with boundary with the sa…
Robin and Steklov isospectral manifolds
Carolyn Gordon, Peter Herbrich, David Webb
We use two of the most fruitful methods for constructing isospectral manifolds, the Sunada method and the torus action method, to construct manifolds whose Dirichlet-to-Neumann ope…
Transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds
Carolyn Gordon, Eran Makover, Bjoern Muetzel +1
We give a general method for constructing compact Kähler manifolds and whose intermediate Jacobians and are isogenous for each , and we exhibit…
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
Carolyn Gordon, William D. Kirwin, Dorothee Schueth +1
We construct pairs of compact Kähler-Einstein manifolds ( of complex dimension with the following properties: The canonical line bundle $L_i=\bigwedge^n…
Asymptotic expansion of the heat kernel for orbifolds
Emily B. Dryden, Carolyn S. Gordon, Sarah J. Greenwald +1
We study the relationship between the geometry and the Laplace spectrum of a Riemannian orbifold O via its heat kernel; as in the manifold case, the time-zero asymptotic expansion…
Isospectral deformations of closed Riemannian manifolds with different scalar curvature
Carolyn S. Gordon, Ruth Gornet, Dorothee Schueth +2
We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds, more precisely, on , whe…