2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60389We consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal entropy, for certain classes of 3-manifolds. Among other resulsts, we show that if M is a closed, orientable, geometrizable 3-manifold with zero simplicial volume, then the minimal entropy can be solved for M if and only if M admits a metric modelled on 4 of the 8 standard 3-dimensional geometries, namely $S^3$, $S^2\times R$, $E^3$, or Nil.16 pagesDynamical SystemsDifferential GeometryGeometric Topology53D25, 37D40text