On Berndt subgroups and extrinsically homogeneous real hypersurfaces in complex hyperbolic spaces (Q2782504)

The author studies homogeneous hypersurfaces of the complex hyperbolic space \(\mathbb{C} H^m\) equipped with its standard metric. The classification of homogeneous hypersurfaces of \(\mathbb{C} H^m\) for which the structure vector field is a principal curvature vector everywhere is already known [see \textit{J. Berndt}, J. Reine Angew. Math. 395, 132-141 (1989; Zbl 0655.53046)]. The main result of the present paper is the classification of all homogeneous hypersurfaces of \(\mathbb{C} H^m\) with three distinct principal curvatures and whose structure vector field does not have the above property.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00022].