Positivity and Completeness of Invariant Metrics |
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| Authors: | Taeyong Ahn Hervé Gaussier Kang-Tae Kim |
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| Affiliation: | 1.Center for Geometry and its Applications,POSTECH,Pohang,The Republic of Korea;2.Univ. Grenoble Alpes, IF,Grenoble,France;3.CNRS, IF,Grenoble,France;4.Center for Geometry and its Applications and Department of Mathematics,POSTECH,Pohang,The Republic of Korea |
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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 in (mathbb {C}^n). 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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