Resumen de The A -principal real hypersurfaces in complex quadrics

Tee-How Loo

• 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.