Hyperbolic Reinhardt Domains in C^2 with Noncompact Automorphism Group
Complex Variables
2009-09-25 v1
Abstract
We give an explicit description of hyperbolic Reinhardt domains D in C^2 such that: (i) D has C^k-smooth boundary for some k greater than or equal to 1, (ii) D intersects at least one of the coordinate complex lines , , and (iii) D has noncompact automorphism group. We also give an example that explains why such a setting is natural for the case of hyperbolic domains and an example that indicates that the situation in C^n for n greater than or equal to 3 is essentially more complicated than that in C^2.
Cite
@article{arxiv.math/9610204,
title = {Hyperbolic Reinhardt Domains in C^2 with Noncompact Automorphism Group},
author = {Alexander V. Isaev and Steven G. Krantz},
journal= {arXiv preprint arXiv:math/9610204},
year = {2009}
}