Semi periodic maps on complex manifolds

2010/11/26 by Ali Reza Khatoon Abadi, Abadi, Ali Reza Khatoon, H. R. Rezazadeh +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1011.5728

openalex publication_date 2010/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this letter we proved this theorem: \emphif F be a holomorphic mapping of T_Ω to a mapping manifold X such that for every compact subset K⊂ Ω 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 ℝ^m+iy' is semi periodic, then F(z) is an semi mapping of T_Ω to X.

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