A Generalization of Zalcman's Lemma on Complex Lie Groups

Abstract

Zalcman's lemma makes significant applications in normal families, complex dynamics and many other related problems in complex analysis. It is interesting to explore a global version of Zalcman's lemma for complex manifolds, even though normality is a local property. In this paper, we establish a version of Zalcman's lemma for complex Lie groups via exponential mappings.

arXiv comment14 pages