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arXiv · 2501.00434

Rigidity and quasisymmetric uniformization of Thurston-type maps

Zhiqiang Li·Pekka Pankka·Hanyun Zheng
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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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Zhiqiang Li, Pekka Pankka, Hanyun Zheng. 2024-12-31. Rigidity and quasisymmetric uniformization of Thurston-type maps. https://arxiv.org/abs/2501.00434

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