2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62963We study a fully nonlinear flow for conformal metrics. The long-time existence and the sequential convergence of flow are established for locally conformally flat manifolds. As an application, we solve the $\sk$-Yamabe problem for locally conformal flat manifolds when $k \neq n/2$.16 pagesDifferential Geometrytext