Semi periodic maps on complex manifolds

Abstract

In this letter we proved this theorem: \emph{if $F$ be a holomorphic mapping of $T_{\Omega }$ to a mapping manifold $X$ such that for every compact subset $K\subset \Omega$ the mapping $F$ is uniformly continues on $T_K$ and $F(T_K)$ is a relatively compact subset of $X$. If the restriction of $F(z)$ to some hyperplane ${\mathbb{R}}^m+i{y}^{\prime }$ is semi periodic, then $F(z)$ is an semi mapping of $T_{\Omega }$ to $X$.}