RT Journal Article
T1 A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
A1 Martínez Pérez, Alvaro
A1 Rodríguez García, José Manuel
AB We study in this paper the relationship of isoperimetric inequality and hyperbolicity forgraphs and Riemannian manifolds. We obtain a characterization of graphs and Riemannianmanifolds (with bounded local geometry) satisfying the (Cheeger) isoperimetric inequality, interms of their Gromov boundary, improving similar results from a previous work. In particular,we prove that having a pole is a necessary condition to have isoperimetric inequality and,therefore, it can be removed as hypothesis.
PB Springer Science and Business Media LLC
SN 1579-1505
YR 2021
FD 2021-06-26
LK https://hdl.handle.net/10016/35497
UL https://hdl.handle.net/10016/35497
LA eng
NO First author supported in part by a Grant from Ministerio de Ciencia, Innovación y Universidades(PGC2018-098321-B-I00), Spain. Second author supported in part by two Grants from Ministerio deEconomía y Competitividad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de DesarrolloRegional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain. Also, the research ofthe second author was supported by the Madrid Government (Comunidad de Madrid-Spain) under theMultiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and inthe context of the V PRICIT (Regional Programme of Research and Technological Innovation).
DS e-Archivo
RD 27 jul. 2024