In:
International Journal of Mathematics, World Scientific Pub Co Pte Ltd, Vol. 33, No. 02 ( 2022-02)
Abstract:
We look at the action of finite subgroups of [Formula: see text] 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 [Formula: see text] to the asymptotic distribution of the Kohn Laplacian’s eigenvalues on the quotient. We show that the order of the subgroup determines whether the quotient of the Rossi sphere by the action of that subgroup is CR embeddable. Finally, in the unperturbed case, we prove that we can determine the size of the subgroup by using the point spectrum.
Type of Medium:
Online Resource
ISSN:
0129-167X
,
1793-6519
DOI:
10.1142/S0129167X22500148
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2022
detail.hit.zdb_id:
1021717-4
SSG:
17,1
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