Schouten tensor equations in conformal geometry with prescribed boundary metric

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68108On a manifold with boundary, we deform the metric conformally. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior, provided that there exists a subsolution.Analysis of PDEsDifferential Geometry53A30; 35J25; 58J32Schouten tensor equations in conformal geometry with prescribed boundary metrictext