Abstract

A ruled real hypersurface in a complex space form is a real hypersurface having a codimension one foliation by totally geodesic complex hyperplanes of the ambient space. Our main purpose of this paper is to introduce a new viewpoint to investigate such hypersurfaces in complex hyperbolic space $$\mathbb {CH}^n$$ . As an application, we study minimal ruled real hypersurfaces in $$\mathbb {CH}^n$$ and also those having constant scalar curvature.

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