English

Ruled hypersurfaces with constant mean curvature in complex space forms

Differential Geometry 2019-07-24 v1

Abstract

We show that ruled real hypersurfaces with constant mean curvature in the complex projective and hyperbolic spaces must be minimal. This provides their classification, by virtue of a result of Lohnherr and Reckziegel.

Keywords

Cite

@article{arxiv.1802.09341,
  title  = {Ruled hypersurfaces with constant mean curvature in complex space forms},
  author = {Miguel Dominguez-Vazquez and Olga Perez-Barral},
  journal= {arXiv preprint arXiv:1802.09341},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T00:33:34.670Z