Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor

• Doo Hyun Hwang ^[1] ; Hyunjin Lee ^[1] ; Young Jin Suh ^[1]
  1. [1] Kyungpook National University

     Kyungpook National University

     Corea del Sur

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 385-400
• Idioma: inglés
• DOI: 10.33044/revuma.1975
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We first give the notion of Reeb invariant Ricci tensor for real hypersurfaces M in the complex quadric Qm∗ = SO0 2,m/SO2SOm, which is defined by Lξ Ric = 0, where Ric denotes the Ricci tensor of M in Qm∗ , and Lξ the Lie derivative along the direction of the Reeb vector field ξ = −JN. Next we give a complete classification of real hypersurfaces in the complex hyperbolic quadric Qm∗ = SO0 2,m/SO2SOm with Reeb invariant Ricci tensor.