Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients
Published: Sep 14, 2025
Last Updated: Sep 14, 2025
Authors:Adam Cohen, Yash Rastogi, Samuel Sottile, Yunus Zeytuncu
Abstract
We prove a Weyl-type theorem for the Kohn Laplacian on sphere quotients as CR manifolds. We show that we can determine the fundamental group from the spectrum of the Kohn Laplacian in dimension three. Furthermore, we prove Sobolev estimates for the complex Green's operator on these quotient manifolds.