Horizontal submanifolds of groups of Heisenberg type

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102296We study maximal horizontal subgroups of Carnot groups of Heisenberg type. We classify those of dimension half of that of the canonical distribution ("lagrangians") and illustrate some notable ones of small dimension. An infinitesimal classification of the arbitrary maximal horizontal submanifolds follows as a consequence.AMSLaTexDifferential Geometry17B30 (primary), 51A50 (secondary)Horizontal submanifolds of groups of Heisenberg typetext