A Generalization of Zalcman's Lemma on Complex Lie Groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917130588389376 |
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| author | Dong, Xianjing Lv, Yanda |
| author_facet | Dong, Xianjing Lv, Yanda |
| contents | Zalcman's Lemma makes significant applications in normal families, complex dynamics and related problems in complex analysis. In the present paper, we are devoted to generalizing the classical Zalcman's lemma to complex Lie groups by means of exponential mappings defined by holomorphic one-parameter subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Generalization of Zalcman's Lemma on Complex Lie Groups Dong, Xianjing Lv, Yanda Complex Variables Group Theory 32A19, 32H02, 32H25 Zalcman's Lemma makes significant applications in normal families, complex dynamics and related problems in complex analysis. In the present paper, we are devoted to generalizing the classical Zalcman's lemma to complex Lie groups by means of exponential mappings defined by holomorphic one-parameter subgroups. |
| title | A Generalization of Zalcman's Lemma on Complex Lie Groups |
| topic | Complex Variables Group Theory 32A19, 32H02, 32H25 |
| url | https://arxiv.org/abs/2511.20536 |