2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165368In this paper, from the viewpoint of the concentration theory of maps, we study a compact group and a Lévy group action to a large class of metric spaces, such as R-trees, doubling spaces, metric graphs, and Hadamard manifolds.23pagesMetric GeometryGroup Theory53C21; 53C23text