Semi periodic maps on complex manifolds
Ali Reza Khatoon Abadi, H.R.Rezazadeh, F.Golgoii

TL;DR
This paper proves that a holomorphic map from a tube domain to a complex manifold, which is semi periodic on a hyperplane, extends this semi periodicity to the entire domain under certain conditions.
Contribution
It establishes a new semi periodicity extension theorem for holomorphic maps from tube domains to complex manifolds.
Findings
Semi periodicity on a hyperplane implies semi periodicity on the whole domain.
Holomorphic maps with relatively compact images are considered.
The theorem applies to mappings with uniform continuity on compact subsets.
Abstract
In this letter we proved this theorem: \emph{if be a holomorphic mapping of to a mapping manifold such that for every compact subset the mapping is uniformly continues on and is a relatively compact subset of . If the restriction of to some hyperplane is semi periodic, then is an semi mapping of to .}
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Taxonomy
TopicsMeromorphic and Entire Functions · Mathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems
