Existence of isometric immersions into nilpotent Lie groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171885We establish necessary and sufficient conditions for existence of isometric immersions of a simply connected Riemannian manifold into a two-step nilpotent Lie group. This comprises the case of immersions into $H$-type groups.Differential Geometry53C42Existence of isometric immersions into nilpotent Lie groupstext