2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60561We classify all compact simply connected homogeneous CR manifolds $M$ of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our previous results and on a description of the maximal connected compact group $G(M)$ of automorphisms of $M$. We characterize also the standard homogeneous CR manifolds as the homogeneous CR manifolds whose group $G(M)$ in not semisimple.Differential GeometryComplex VariablesPrimary 32V05; Secondary 53D10 57S25 53C30text