On the Kähler-hyperbolicity of bounded symmetric domains
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916656783032320 |
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| author | Choi, Young-Jun Lee, Kang-Hyurk Seo, Aeryeong |
| author_facet | Choi, Young-Jun Lee, Kang-Hyurk Seo, Aeryeong |
| contents | In this paper, we characterize the Kähler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of $L^\infty$ norm of the gradient length of any Bergman potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15028 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Kähler-hyperbolicity of bounded symmetric domains Choi, Young-Jun Lee, Kang-Hyurk Seo, Aeryeong Complex Variables Differential Geometry 32M15, 32Q20, 53C55 In this paper, we characterize the Kähler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of $L^\infty$ norm of the gradient length of any Bergman potential. |
| title | On the Kähler-hyperbolicity of bounded symmetric domains |
| topic | Complex Variables Differential Geometry 32M15, 32Q20, 53C55 |
| url | https://arxiv.org/abs/2503.15028 |