Locally Euclidean metrics on R^3

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124045For all 0<t \leq 1, we define a locally Euclidean metric ρ_t on R^3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean metric d_E. This research is motivated by expanding universe.5 pagesDifferential GeometryMathematical Physics85A40 ; 57M50Locally Euclidean metrics on R^3text