CR embeddability of quotients of the Rossi sphere via spectral theory

  title={CR embeddability of quotients of the Rossi sphere via spectral theory},
  author={Henry Bosch and Tyler Gonzales and Kamryn Spinelli and Gabe Udell and Yunus E. Zeytuncu},
  journal={International Journal of Mathematics},
We look at the action of finite subgroups of SU(2) on [Formula: see text], viewed as a CR manifold, both with the standard CR structure as the unit sphere in [Formula: see text] and with a perturbed CR structure known as the Rossi sphere. We show that quotient manifolds from these actions are indeed CR manifolds, and relate the order of the subgroup of SU(2) to the asymptotic distribution of the Kohn Laplacian’s eigenvalues on the quotient. We show that the order of the subgroup determines… 


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