3 papers
math.CV2021
CR embeddability of quotients of the Rossi sphere via spectral theory
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We look at the action of finite subgroups of on , viewed as a CR manifold, both with the standard CR structure as the unit sphere in and…
math.DG2021
Manifolds with bounded integral curvature and no positive eigenvalue lower bounds
Connor C. Anderson, Xavier Ramos Olivé, Kamryn Spinelli
We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diameter and on norms of the curvature, but without a positive lower bound on…
math.CV2020
A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…