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arxiv: 1411.2753 · v1 · pith:RCNOXI4Hnew · submitted 2014-11-11 · 🧮 math.CV

Positivity and completeness of invariant metrics

classification 🧮 math.CV
keywords completenessdomainsfunctionsholomorphicinvariantmethodmetricspositivity
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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.

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