A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group
Complex Variables
2020-11-06 v1 Differential Geometry
Abstract
The affine scaling method has been a typical approach to study complex domains with noncompact automorphism group. In this article, we will introduce an alternative approach, so called, the method of potential scaling to construct a certain class of potential functions of the K\"ahler-Einstein metric. We will also prove that if a bounded pseudoconvex domain admits a potential function of the K\"ahler-Einstein metric whose differential has constant length, then there is an -parameter family of automorphisms.
Keywords
Cite
@article{arxiv.2011.02660,
title = {A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group},
author = {Kang-Hyurk Lee},
journal= {arXiv preprint arXiv:2011.02660},
year = {2020}
}