Nevanlinna Theory of Algebroid Functions on Complete Kähler Manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909600190562304 |
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| author | Dong, Xianjing |
| author_facet | Dong, Xianjing |
| contents | In this paper, we generalize the classical Nevanlinna theory of algebroid functions from $\mathbb C$ to a complete Kähler manifold with either non-negative Ricci curvature or non-positive sectional curvature. As its applications, we establish some Picard type theorems and five-value type theorems for algebroid functions under certain conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07360 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nevanlinna Theory of Algebroid Functions on Complete Kähler Manifolds Dong, Xianjing Complex Variables 32H30, 32H25 In this paper, we generalize the classical Nevanlinna theory of algebroid functions from $\mathbb C$ to a complete Kähler manifold with either non-negative Ricci curvature or non-positive sectional curvature. As its applications, we establish some Picard type theorems and five-value type theorems for algebroid functions under certain conditions. |
| title | Nevanlinna Theory of Algebroid Functions on Complete Kähler Manifolds |
| topic | Complex Variables 32H30, 32H25 |
| url | https://arxiv.org/abs/2311.07360 |