Positivity and completeness of invariant metrics

2014/11/11 by Ahn, Taeyong, Gaussier, Hervé, Kim, Kang-Tae · 2 citations
#32F45 #32T40 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.2753

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.

Cited by

• Properties of squeezing functions on h-extendible domains
• Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains

Related

• On the completeness of a metric related to the Bergman metric
• Comparison of invariant funcions and metrics
• The equivalent classical metrics on the Cartan-Hartogs Domains
• Invariant weighted Bergman metrics on domains
• Bergman and Caratheodory metrics of the Kohn-Nirenberg domains