English

Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes

Differential Geometry 2016-09-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1609.01978,
  title  = {Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes},
  author = {Jose Carlos Diaz-Ramos and Miguel Dominguez-Vazquez and Cristina Vidal-Castiñeira},
  journal= {arXiv preprint arXiv:1609.01978},
  year   = {2016}
}
R2 v1 2026-06-22T15:42:38.947Z