A Hermitian metric on hyperbolic complex manifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908373576843264 |
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| author | Chakrabarti, Debraj Mahajan, Prachi |
| author_facet | Chakrabarti, Debraj Mahajan, Prachi |
| contents | We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant. This method is distinct from the classical construction of Wu, and yields a metric which is expected to have superior regularity properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Hermitian metric on hyperbolic complex manifolds Chakrabarti, Debraj Mahajan, Prachi Complex Variables 32F45 We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant. This method is distinct from the classical construction of Wu, and yields a metric which is expected to have superior regularity properties. |
| title | A Hermitian metric on hyperbolic complex manifolds |
| topic | Complex Variables 32F45 |
| url | https://arxiv.org/abs/2505.15780 |