2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129626In this paper we prove that for every bumpy Finsler metric $F$ on every rationally homological $n$-dimensional sphere $S^n$ with $n\ge 2$, there exist always at least two distinct prime closed geodesics.22 pagesDifferential GeometryMultiple closed geodesics on bumpy Finsler $n$-spherestext