Martínez Pérez, ÁlvaroRodríguez, José M.2025-12-162025-12-162021Martínez-Pérez, Á., Rodríguez, J.M. On p-parabolicity of Riemannian manifolds and graphs. Rev Mat Complut. 2022; 35, Mar 06: 179–198.1139-11381988-280710.1007/s13163-021-00387-xhttps://hdl.handle.net/20.500.14352/129081Kanai proved that quasi-isometries between Riemannian manifolds with bounded geometry preserve many global properties, including the existence of Green’s function, i.e., non-parabolicity. However, Kanai’s hypotheses are too restrictive. Herein we prove the stability of p-parabolicity (with 1 < p < ∞) by quasi-isometries between Riemannian manifolds under weaker assumptions. Also, we obtain some results on the p-parabolicity of graphs and trees; in particular, we characterize p-parabolicity for a large class of trees.engjournal articleopen accessBounded local geometryp-parabolicityParabolicityQuasi-isometriesGeometría diferencial1204.04 Geometría Diferencial