Liouville property and quasi‐isometries on non‐positively curved Riemannian surfaces

Ana Granados, Ana Portilla, José M. Rodríguez‐García and Eva Tourís

Mathematische Nachrichten, 2025, vol. 298, issue 3, 794-805

Abstract: Kanai proved the stability under quasi‐isometries of several global properties for Riemannian manifolds with the restriction of having positive injectivity radius. This work shows the stability of the Liouville property for Riemannian surfaces with non‐positive curvature, where the restriction on the injectivity radius has been removed.

Date: 2025
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https://doi.org/10.1002/mana.202400121

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:3:p:794-805

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