Rigidity and quasisymmetric uniformization of Thurston-type maps

2024/12/31 by Zhiqiang Li, Li, Zhiqiang, Pekka Pankka +2 · 1 citation
Computer Science · Engineering · #30L10 #37F15 #37F20 #37F31 #Advanced Numerical Analysis Techniques #Complex Variables (math.CV) #Computational Geometry and Mesh Generation #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 37F10 #Secondary: 30C65

paper · pdf · doi:10.48550/arxiv.2501.00434

openalex publication_date 2024/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the No Invariant Line Fields conjecture for a class of generalized postcritically-finite branched covers on higher-dimensional Riemannian manifolds. Moreover, we establish a quasisymmetric uniformization theorem for this class of generalized postcritically-finite maps.

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• A class of Lattès maps with cellular structures

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