Totally geodesic submanifolds of Damek–Ricci spaces

• Sinhwi Kim ^[1] ; Yuri Nikolayevsky ^[2] ; JeongHyeong Park ^[1]
  1. [1] Sungkyunkwan University

     Sungkyunkwan University

     Corea del Sur

     
  2. [2] La Trobe University

     La Trobe University

     Australia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 4, 2021, págs. 1321-1332
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We classify totally geodesic submanifolds of Damek–Ricci spaces and show that they are either subgroups (“smaller” Damek–Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.