A refined form of the second main theorem on complete non-positively curved Kähler manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909529086623744 |
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| author | Dong, Xianjing |
| author_facet | Dong, Xianjing |
| contents | How to devise a second main theorem with best error terms is a central problem in the study of Nevanlinna theory. However, it seems difficult to be done for a general non-positively curved Kähler manifold. Based on the work of A. Atsuji in Nevanlinna theory, we present a refined form of the second main theorem of meromorphic mappings on a general complete Kähler manifold with non-positive sectional curvature using a good estimate. This result improves the error terms in the second main theorem obtained by A. Atsuji in 2018. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05090 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A refined form of the second main theorem on complete non-positively curved Kähler manifolds Dong, Xianjing Complex Variables 32H30 How to devise a second main theorem with best error terms is a central problem in the study of Nevanlinna theory. However, it seems difficult to be done for a general non-positively curved Kähler manifold. Based on the work of A. Atsuji in Nevanlinna theory, we present a refined form of the second main theorem of meromorphic mappings on a general complete Kähler manifold with non-positive sectional curvature using a good estimate. This result improves the error terms in the second main theorem obtained by A. Atsuji in 2018. |
| title | A refined form of the second main theorem on complete non-positively curved Kähler manifolds |
| topic | Complex Variables 32H30 |
| url | https://arxiv.org/abs/2503.05090 |