2008/10/18 by Jorge H. de Lira, J. H. de Lira, de Lira, J. H. +3
Engineering · Mathematics · Medicine · #53C42 #Differential Geometry (math.DG) #Engineering #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Group (periodic table) #Internal medicine #Isometric exercise #Lie group #Manifold (fluid mechanics) #Mathematics #Medicine #Nilpotent #Physics #Point processes and geometric inequalities #Pure mathematics #Riemannian manifold #math.DG #msc:53C42
paper · pdf · doi:10.48550/arxiv.0810.3307
arxiv created 2008/10/18 · openalex publication_date 2008/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We 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.