2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172317We show that the space of negatively curved metrics of a closed negatively curved Riemannian $n$-manifold, $n\geq 10$, is highly non-connected.Differential GeometryGeometric TopologyOn the topology of the space of negatively curved metricstext