4 citations · 7 across the 10 of their papers we have counts for
11 papers
Periodic Magnetic Geodesics on Heisenberg Manifolds
Jonathan Epstein, Ruth Gornet, Maura B. Mast
We study the dynamics of magnetic flows on Heisenberg groups. Let denote the three-dimensional simply connected Heisenberg Lie group endowed with a left-invariant Riemannian me…
Lens spaces isospectral on forms but not on functions
Ruth Gornet, Jeffrey McGowan
This paper means to correct an error by the authors for the composite case in the paper "Lens Spaces, Isospectral on Forms but not on Functions", published in LMS J. Comput. Ma…
The eta invariant on two-step nilmanifolds
Ruth Gornet, Ken Richardson
The eta invariant appears regularly in index theorems but is known to be directly computable from the spectrum only in certain examples of locally symmetric spaces of compact type.…
Isospectral surfaces with distinct covering spectra via Cayley Graphs
Bart De Smit, Ruth Gornet, Craig J. Sutton
The covering spectrum is a geometric invariant of a Riemannian manifold, more generally of a metric space, that measures the size of its one-dimensional holes by isolating a portio…
Sunada's method and the covering spectrum
Bart de Smit, Ruth Gornet, Craig J. Sutton
In 2004, Sormani and Wei introduced the covering spectrum: a geometric invariant that isolates part of the length spectrum of a Riemannian manifold. In their paper they observed th…
Isoscattering Schottky Manifolds
Robert Brooks, Ruth Gornet, Peter Perry
The authors exhibit pairs of infinite-volume, hyperbolic three-manifolds that have the same scattering poles and conformally equivalent boundaries, but which are not isometric. The…