English

On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$

Complex Variables 2014-02-17 v2

Abstract

In this paper, the conjecture on the Zalcmanness of Cn (n2)\mathbb C^n \ (n\geq 2) and (C)2(\mathbb C^*)^2, which is posed in \cite{Do}, is proved in the case where the derivatives of limit holomorphic curves are bounded. Moreover, several criteria for normality of families of holomorphic mappings are given.

Keywords

Cite

@article{arxiv.1310.7153,
  title  = {On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$},
  author = {Do Duc Thai and Mai Anh Duc and Ninh Van Thu},
  journal= {arXiv preprint arXiv:1310.7153},
  year   = {2014}
}

Comments

13 pages

R2 v1 2026-06-22T01:54:45.124Z