Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic   planes
  We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the complex projective and hyperbolic planes. We also obtain some partial classifications of austere hypersurfaces and of Levi-flat hypersurfaces with constant mean curvature in these spaces. 
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Cristina   Vidal-Casti\~neira
math.DG