A Generalization of Zalcman's Lemma on Complex Lie Groups
Complex Variables
2025-12-09 v2 Group Theory
Abstract
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.
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Cite
@article{arxiv.2511.20536,
title = {A Generalization of Zalcman's Lemma on Complex Lie Groups},
author = {Xianjing Dong and Yanda Lv},
journal= {arXiv preprint arXiv:2511.20536},
year = {2025}
}
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14 pages