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arXiv · 1411.2753

Positivity and completeness of invariant metrics

Taeyong Ahn·Hervé Gaussier·Kang-Tae Kim
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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.

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Taeyong Ahn, Hervé Gaussier, Kang-Tae Kim. 2014-11-11. Positivity and completeness of invariant metrics. https://arxiv.org/abs/1411.2753

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