On CR maps from the sphere into the tube over the future light cone II: Higher dimensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914846964973568 |
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| author | Reiter, Michael Son, Duong Ngoc |
| author_facet | Reiter, Michael Son, Duong Ngoc |
| contents | We determine all CR maps from the sphere in $\mathbb{C}^3$ into the tube over the future light cone in $\mathbb{C}^4$. This result leads to a complete characterization of proper holomorphic maps from the three-dimensional unit ball into the classical domain of type IV of four dimension and confirms a conjecture of Reiter - Son in [26] from 2022. Additionally, we prove a boundary characterization of isometric holomorphic embeddings from a ball into a classical domain of type IV in arbitrary dimensions that is similar to the main result in Huang - Lu - Tang - Xiao [16]. The result is then used to treat a special case in the general characterization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On CR maps from the sphere into the tube over the future light cone II: Higher dimensions Reiter, Michael Son, Duong Ngoc Complex Variables We determine all CR maps from the sphere in $\mathbb{C}^3$ into the tube over the future light cone in $\mathbb{C}^4$. This result leads to a complete characterization of proper holomorphic maps from the three-dimensional unit ball into the classical domain of type IV of four dimension and confirms a conjecture of Reiter - Son in [26] from 2022. Additionally, we prove a boundary characterization of isometric holomorphic embeddings from a ball into a classical domain of type IV in arbitrary dimensions that is similar to the main result in Huang - Lu - Tang - Xiao [16]. The result is then used to treat a special case in the general characterization. |
| title | On CR maps from the sphere into the tube over the future light cone II: Higher dimensions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2406.16428 |