Positivity and completeness of invariant metrics
Complex Variables
2014-11-12 v1
Abstract
We present a method for constructing global holomorphic peak functions from local holomorphic support functions for broad classes of unbounded domains. As an application, we establish a method for showing the positivity and completeness of invariant metrics including the Bergman metric mainly for the unbounded domains.
Keywords
Cite
@article{arxiv.1411.2753,
title = {Positivity and completeness of invariant metrics},
author = {Taeyong Ahn and Hervé Gaussier and Kang-Tae Kim},
journal= {arXiv preprint arXiv:1411.2753},
year = {2014}
}
Comments
11 pages