Year: 2026
Type: preprint
Abstract: We prove that if a complete Riemannian surface $(Σ,d_Σ)$ is quasi-isometric to some bounded degree graph $G$, then $Σ$ admits a triangulation whose 1-skeleton is quasi-isometric to it when equipped with the simplicial metric. We study several variants of the problem, and identify the right condition making it an if and only if statement.
Source: arXiv (Cornell University)
Authors: Georgakopoulos, Agelos, Vigolo, Federico
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7140175477
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