RT Journal Article
T1 On p-parabolicity of Riemannian manifolds and graphs
A1 Martínez Pérez, Álvaro
A1 Rodríguez, José M.
AB Kanai 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.
PB Springer Nature Link
SN 1139-1138
SN 1988-2807
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/129081
UL https://hdl.handle.net/20.500.14352/129081
LA eng
NO Martínez-Pérez, Á., Rodríguez, J.M. On p-parabolicity of Riemannian manifolds and graphs. Rev Mat Complut. 2022; 35, Mar 06: 179–198.
NO Agencia Estatal de Investigación
NO Comunidad de Madrid
DS Docta Complutense
RD 20 mar 2026