2 papers
math.AP2025
Semiclassical Measures on Hyperbolic Manifolds
Elena Kim, Nicholas Miller
We examine semiclassical measures for Laplace eigenfunctions on compact hyperbolic -manifolds. We prove their support must contain the cosphere bundle of a compact immersed…
math.DG2022
Spectral Analysis of the Kohn Laplacian on Lens Spaces
Colin Fan, Elena Kim, Ian Shors +3
We obtain an analog of Weyl's law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectra…