11 citations · 16 across the 10 of their papers we have counts for
12 papers
Spectral multiplicity and nodal sets for generic torus-invariant metrics
Donato Cianci, Chris Judge, Samuel Lin +1
Let a torus act freely on a closed manifold of dimension at least two. We demonstrate that, for a generic -invariant Riemannian metric on , each real -eigens…
Geometric structures and the Laplace spectrum, part II
Samuel Lin, Benjamin Schmidt, Craig Sutton
We continue our exploration of the extent to which the spectrum encodes the local geometry of a locally homogeneous three-manifold and find that if and are a pair o…
Geometric structures and the Laplace spectrum
Samuel Lin, Benjamin Schmidt, Craig Sutton
Inspired by the role geometric structures play in our understanding of surfaces and three-manifolds, and Berger's observation that a surface of constant sectional curvature is dete…
On the Poisson relation for compact Lie groups
Craig J. Sutton
Intuition drawn from quantum mechanics and geometric optics raises the following long-standing question: can the length spectrum of a closed Riemannian manifold be recovered from i…
Constructing metrics on a -torus with a partially prescribed stable norm
Eran Makover, Hugo Parlier, Craig J. Sutton
A result of Bangert states that the stable norm associated to any Riemannian metric on the -torus is strictly convex. We demonstrate that the space of stable norms associa…
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…