Publication date:
April 2017
Source:Differential Geometry and its Applications, Volume 51
Author(s): Sadahiro Maeda, Hiromasa Tanabe
A ruled real hypersurface in a nonflat complex space form ${\tilde{M}}_n(c)(n\ge 2)$ of constant holomorphic sectional curvature $c(\ne 0)$ is, in a word, a real hypersurface having a foliation by totally geodesic complex hyperplanes ${\tilde{M}}_{n-1}(c)$. In this paper, we investigate the sectional curvatures K of ruled real hypersurfaces in a complex hyperbolic space and show that such hypersurfaces are classified into two types with regard to the range of K.