The A -principal real hypersurfaces in complex quadrics

• T. H. Loo ^[1]
  1. [1] University of Malaya

     University of Malaya

     Malasia

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 63, Nº. 1, 2022, págs. 69-91
• Idioma: inglés
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• Resumen

  • A real hypersurface in the complex quadric Qm = SOm+2/ SOmSO2 is said to be A-principal if its unit normal vector field is singular of type A-principal everywhere. In this paper, we show that a A-principal Hopf hypersurface in Qm, m ≥ 3, is an open part of a tube around a totally geodesic Qm+1 in Qm. We also show that such real hypersurfaces are the only contact real hypersurfaces in Qm. The classification for complete pseudo-Einstein real hypersurfaces in Qm, m ≥ 3, is also obtained.