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arXiv · 2304.05213

Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains

Debaprasanna Kar
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Abstract

We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary asymptotics of the Kobayashi--Fuks metric and its Riemannian volume element by the help of some maximal domain functions and then using their stability results on h-extendible local models.

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Debaprasanna Kar. 2023-04-11. Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains. https://doi.org/10.1007/s10476-024-00013-0

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