Stability of p‐parabolicity under quasi‐isometries

Ana Granados, Domingo Pestana, Ana Portilla and José M. Rodríguez

Mathematische Nachrichten, 2022, vol. 295, issue 3, 536-559

Abstract: Kanai proved the stability under quasi‐isometries of numerous global properties (including existence of Green's function, i.e., non‐parabolicity) between Riemannian manifolds of bounded geometry. Unfortunately, Kanai's hypotheses are not usually satisfied in the context of Riemann surfaces endowed with the Poincaré metric. In this work we prove the stability of p‐parabolicity (with 1

Date: 2022
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