Isoperimetric inequalities in Riemann surfaces and graphs

Á Martínez-Pérez, JM Rodríguez - The Journal of Geometric Analysis, 2021 - Springer
A celebrated theorem of Kanai states that quasi-isometries preserve isoperimetric
inequalities between uniform Riemannian manifolds (with positive injectivity radius) and …

Stability of the volume growth rate under quasi-isometries

A Granados, D Pestana, A Portilla… - Revista Matemática …, 2020 - Springer
Kanai proved powerful results on the stability under quasi-isometries of numerous global
properties (including the volume growth rate) between non-bordered Riemannian manifolds …

Liouville property and quasi-isometries on negatively curved Riemannian surfaces

A Granados, D Pestana, A Portilla… - Proceedings of the …, 2024 - cambridge.org
Kanai proved powerful results on the stability under quasi-isometries of numerous global
properties (including Liouville property) between Riemannian manifolds of bounded …

On p-parabolicity of Riemannian manifolds and graphs

A Martinez-Perez, JM Rodriguez - Revista Matemática Complutense, 2022 - Springer
Kanai proved that quasi-isometries between Riemannian manifolds with bounded geometry
preserve many global properties, including the existence of Green's function, ie, non …