Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914720471056384 |
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| author | Kar, Debaprasanna |
| author_facet | Kar, Debaprasanna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_05213 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains Kar, Debaprasanna Complex Variables 32F45, 32A25, 32A36 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. |
| title | Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains |
| topic | Complex Variables 32F45, 32A25, 32A36 |
| url | https://arxiv.org/abs/2304.05213 |