2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109057We consider the problem of constructing solutions to the Yamabe equation (i.e. conformal constant scalar curvature metrics) on the generalized connected sum M = (M_1) #_K (M_2) of two compact Riemannian manifolds (M_1,g_1) and (M_2,g_2) along a common (isometrically embedded) submanifold (K,g_K) of codimension greater or equal than 3.18 pagesDifferential GeometryAnalysis of PDEs53C21; 58J60Generalized connected sum construction for constant scalar curvature metricstext