Martínez Pérez, ÁlvaroRodríguez, José M.2025-12-162025-12-162021Martínez-Pérez, Á., Rodríguez, J.M. A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs. RACSAM. 2021; 115:1541578-73031579-150510.1007/s13398-021-01096-2https://hdl.handle.net/20.500.14352/129084We study in this paper the relationship of isoperimetric inequality and hyperbolicity for graphs and Riemannian manifolds. We obtain a characterization of graphs and Riemannian manifolds (with bounded local geometry) satisfying the (Cheeger) isoperimetric inequality, in terms 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.engjournal articleopen accessBounded local geometryCheeger isoperimetric constant Gromov hyperbolicity Bounded local geometry PoleGromov hyperbolicityPoleGeometría diferencial1204.04 Geometría Diferencial