2 papers
math.DG2022
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…
math.DG2016
On the Poisson relation for flat and spherical space forms
Donato Cianci
A general approach to proving that the length spectrum of a compact Riemannian manifold is an invariant of the Laplace spectrum comes from considering the wave trace, a spectrally…