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math.MG2026
Quasihyperbolic domains are CAT(2)
Toni Ikonen, Abhishek Pandey
We prove that every proper subdomain of the Euclidean space equipped with its quasihyperbolic metric is CAT(2). The CAT property leads to a positive resolution of Väisälä's uniquen…
math.MG2025
On infinity thick quasiconvexity and applications
Miguel García-Bravo, Toni Ikonen, Zheng Zhu
We investigate geometric properties of a metric measure space where every function in the Newton--Sobolev space has a Lipschitz representative. We prove that when…