Tight maps and holomorphicity, exceptional spaces

2014/10/29 by Oskar Hamlet, Takayuki Okuda, Hamlet, Oskar +1
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DG

paper · pdf · doi:10.48550/arxiv.1410.8061

arxiv created 2014/10/29 · openalex publication_date 2014/10/29 · arxiv updated 2014/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there are no tight nonholomorphic maps from irreducible domains into exceptional codomains, the only exception being the already known tight nonholomorphic maps from the Poincare disc. This follows up on previous work by the first author where this was shown for classical codomains.

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