On the Third Gap for Proper Holomorphic Maps between Balls

2012/01/31 by Huang, Xiaojun, Shanyu Ji, Ji, Shanyu +2 · 4 citations
Mathematics · #32H35 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1201.6440

openalex publication_date 2012/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper, we study the gap rigidity phenomenon for proper holomorphic maps between balls of different dimension. We show that any F∈ prop₃(\mathbbBⁿ, \mathbbB ^N), with 3n

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