Isometries in the diamond
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914717585375232 |
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| author | Chavan, Anand Zwonek, Włodzimierz |
| author_facet | Chavan, Anand Zwonek, Włodzimierz |
| contents | We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as $\triangle:=\{z\in\mathbb C^2:|z_1|+|z_2|<1\}$. Additionally, we discuss the problem of uniqueness of real geodesics, left inverses and strict convexity of indicatrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isometries in the diamond Chavan, Anand Zwonek, Włodzimierz Complex Variables 32F45 We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as $\triangle:=\{z\in\mathbb C^2:|z_1|+|z_2|<1\}$. Additionally, we discuss the problem of uniqueness of real geodesics, left inverses and strict convexity of indicatrices. |
| title | Isometries in the diamond |
| topic | Complex Variables 32F45 |
| url | https://arxiv.org/abs/2403.11031 |